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Krantz, Steven George

Author ID: krantz.steven-george Recent zbMATH articles by "Krantz, Steven George"
Published as: Krantz, Steven G.; Krantz, S. G.; Krantz, Steven; Krantz, Steven George
Homepage: https://www.math.wustl.edu/~sk/
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
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Co-Authors

181 single-authored
20 Kim, Kang-Tae
19 Greene, Robert Everist
16 Li, Songying
16 Peloso, Marco Maria
12 Isaev, Alexander
12 Parks, Harold R.
7 Chen, Goong
7 Ma, Daowei
7 Rao, Arni S. R. Srinivasa
5 Fontana, Luigi
5 Fu, Siqi
4 Chang, Der-Chen E.
4 Chen, Ming-Chieh
4 Guo, Tiexin
4 Scully, Matthew M.
4 Sergeev, Alexey V.
4 Stoppato, Caterina
4 Wang, Junmin
4 Wei, Chunqiu
4 Yang, Jing
4 Yao, Pengfei
3 Bedford, Eric
3 Blank, Brian E.
3 Cima, Joseph A.
3 Daghighi, Abtin
3 D’Angelo, John P.
3 Di Biase, Fausto
3 Gavosto, Estela Ana
3 Huang, Xiaojun
3 Osserman, Robert
3 Rochberg, Richard
3 Wójcicki, Paweł Marian
2 Alladi, Krishnaswami
2 Aron, Richard Martin
2 Bott, Raoul Harry
2 Byun, Jisoo
2 Dao, Nguyen Anh
2 Douglas, Ronald George
2 Earle, Clifford J.
2 Fornæss, John Erik
2 Fridman, Buma L.
2 Hejhal, Dennis A.
2 Huang, Jingtong
2 Huang, Jingtong Kaya
2 Jørgensen, Troels
2 Jorgenson, Jay Alan
2 Kahane, Jean-Pierre
2 Marden, Albert
2 Min, Baili
2 Munao, Simone
2 Nathanson, Melvyn Bernard
2 Parsons, Torrence D.
2 Sadowski, Jacek Józef
2 Sawyer, Eric T.
2 Stein, Elias Menachem
2 Treil, Sergei
2 Zynda, Tomasz Lukasz
1 Agarwal, Ravi P.
1 Aladro, Gerardo
1 Alon, Noga
1 Atiyah, Michael Francis
1 Bar-Natan, Dror
1 Beckner, William
1 Bell, Steven R.
1 Bland, John S.
1 Brown, Johnny E.
1 Burns, Daniel M. jun.
1 Buzzard, Gregery T.
1 Casazza, Peter George
1 Cattaneo, Alberto Sergio
1 Chen, Liwei
1 Chen, Zhenhua
1 Cheung, Wingsum
1 Chuaqui, Martin
1 Coates, John Henry
1 Cohen, Paul Joseph
1 Coleman, Matthew P.
1 Corti, Darrell
1 Dafni, Galia
1 Dovbush, Peter V.
1 Duesberg, Peter
1 Duncan, John
1 Erdős, Pál
1 Ewing, John Harwood
1 Fan, Dashan
1 Fefferman, Charles Louis
1 Ferguson, Tim
1 Garcia, Stephan Ramon
1 Gaussier, Hervé
1 Gehring, Frederick William
1 Gerver, Joseph L.
1 Godsil, Christopher David
1 Goldberg, Lisa A.
1 Goldfeld, Dorian Morris
1 Goldston, Daniel Alan
1 Goodwillie, Thomas Gehret
1 Graham, Ian R.
1 Graham, Ronald Lewis
1 Greenberg, Marvin Jay
1 Han, Yongsheng
...and 97 more Co-Authors
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Serials

20 Complex Variables and Elliptic Equations
16 Journal of Mathematical Analysis and Applications
16 Textbooks in Mathematics
14 The Journal of Geometric Analysis
12 Rocky Mountain Journal of Mathematics
12 Notices of the American Mathematical Society
10 American Mathematical Monthly
8 Real Analysis Exchange
8 Complex Analysis and Operator Theory
7 Illinois Journal of Mathematics
7 Complex Variables. Theory and Application
6 Michigan Mathematical Journal
6 Expositiones Mathematicae
5 Duke Mathematical Journal
5 Indiana University Mathematics Journal
5 Manuscripta Mathematica
4 Journal of the Korean Mathematical Society
4 Pacific Journal of Mathematics
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 The Dolciani Mathematical Expositions
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Bulletin of the Korean Mathematical Society
3 Mathematical Research Letters
3 The Carus Mathematical Monographs
3 Contemporary Mathematics
3 Proceedings of Symposia in Pure Mathematics
2 Houston Journal of Mathematics
2 Mathematics Magazine
2 Advances in Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Bulletin of the American Mathematical Society. New Series
2 Graduate Studies in Mathematics
2 Lecture Notes in Mathematics
2 Cornerstones
1 Journal d’Analyse Mathématique
1 Studia Mathematica
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
1 Integral Equations and Operator Theory
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Quaestiones Mathematicae
1 European Journal of Combinatorics
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 Bulletin of the Allahabad Mathematical Society
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Experimental Mathematics
1 Georgian Mathematical Journal
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 The Asian Journal of Mathematics
1 Missouri Journal of Mathematical Sciences
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mediterranean Journal of Mathematics
1 Bulletin of the American Mathematical Society
1 Basler Lehrbücher
1 Fields Institute Communications
1 Graduate Texts in Mathematics
1 Mathematical Sciences Research Institute Publications
1 Progress in Mathematics
1 Regional Conference Series in Mathematics
1 Leituras em Matemática
1 Electronic Research Announcements in Mathematical Sciences
1 Synthesis Lectures on Mathematics & Statistics
1 Journal of Theoretical Biology
1 International Journal of Analysis and Applications
1 Complex Analysis and its Synergies
1 Modern Birkhäuser Classics
1 Applied and Numerical Harmonic Analysis
1 Springer Monographs in Mathematics
1 Contemporary Mathematicians
1 Birkhäuser Advanced Texts. Basler Lehrbücher
1 MAA Textbooks
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
1 MAA Spectrum
1 European Mathematical Society Magazine
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Fields

187 Several complex variables and analytic spaces (32-XX)
61 Functions of a complex variable (30-XX)
40 General and overarching topics; collections (00-XX)
32 Partial differential equations (35-XX)
30 History and biography (01-XX)
28 Real functions (26-XX)
27 Functional analysis (46-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
14 Operator theory (47-XX)
12 Potential theory (31-XX)
12 Global analysis, analysis on manifolds (58-XX)
8 Differential geometry (53-XX)
8 General topology (54-XX)
8 Mathematics education (97-XX)
7 Mathematical logic and foundations (03-XX)
7 Measure and integration (28-XX)
7 Biology and other natural sciences (92-XX)
6 Ordinary differential equations (34-XX)
5 Abstract harmonic analysis (43-XX)
5 Geometry (51-XX)
5 Computer science (68-XX)
4 Integral equations (45-XX)
4 Convex and discrete geometry (52-XX)
4 Manifolds and cell complexes (57-XX)
3 Number theory (11-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Numerical analysis (65-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Approximations and expansions (41-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Mechanics of deformable solids (74-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

231 Publications have been cited 3,681 times in 2,817 Documents Cited by Year
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
272
2002
Function theory of several complex variables. Zbl 0471.32008
Krantz, Steven G.
225
1982
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
222
2001
Function theory of several complex variables. 2. ed. Zbl 0776.32001
Krantz, Steven G.
175
1992
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
157
2002
Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008
Burns, Daniel M.; Krantz, Steven G.
116
1994
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
101
1992
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
100
2008
\(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems. Zbl 0804.35027
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
80
1993
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
70
2013
Distance to \(C^k\) hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
68
1981
Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel. Zbl 0504.32016
Greene, Robert E.; Krantz, Steven G.
66
1982
Handbook of complex variables. Zbl 0946.30001
Krantz, Steven G.
64
1999
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
63
2009
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
59
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
58
2001
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
56
1999
Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018
Krantz, Steven G.
49
1983
Domains with non-compact automorphism group: a survey. Zbl 1040.32019
Isaev, A. V.; Krantz, S. G.
47
1999
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
47
2006
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
44
2006
Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains. Zbl 0303.35059
Krantz, S. G.
41
1976
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
39
2011
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
38
2011
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
36
2008
A criterion for normality in \(\mathbb{C}^ n\). Zbl 0749.32001
Aladro, Gerardo; Krantz, Steven G.
33
1991
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
30
2013
The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003
Cima, Joseph A.; Krantz, Steven G.
28
1983
The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016
Greene, Robert E.; Krantz, Steven G.
26
1982
On a problem of Moser. Zbl 0846.32010
Huang, Xiaojun; Krantz, Steven G.
24
1995
Fractional integration on Hardy spaces. Zbl 0504.47034
Krantz, Steven G.
24
1982
Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\). Zbl 0835.32004
Krantz, Steven G.; Li, Song-Ying
23
1995
Partial differential equations and complex analysis. Zbl 0852.35001
Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M.
23
1992
Analysis, designs, and behaviour of dissipative joints for coupled beams. Zbl 0685.73046
Chen, G.; Krantz, S. G.; Russel, D. L.; Wayne, C. E.; West, H. H.; Coleman, M. P.
22
1989
Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006
Krantz, Steven G.; Ma, Daowei
22
1988
On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018
Isaev, Alexander V.; Krantz, Steven G.
22
2001
On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. Zbl 0886.32003
Krantz, Steven G.; Li, Song-Ying
21
1995
A panorama of harmonic analysis. Zbl 0947.42001
Krantz, Steven G.
19
1999
Compactness of the \(\bar \partial\)-Neumann operator. Zbl 0736.35071
Krantz, Steven G.
19
1988
Biholomorphic self-maps of domains. Zbl 0625.32024
Greene, Robert E.; Krantz, Steven G.
19
1987
Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014
Kim, Kang-Tae; Krantz, Steven G.
19
2001
Smoothness to the boundary of conformal maps. Zbl 0626.30005
Bell, Steven R.; Krantz, Steven G.
19
1987
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023
Greene, Robert E.; Krantz, Steven G.
19
1987
Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\). Zbl 0728.32002
Krantz, Steven G.
18
1991
Hardy spaces and elliptic boundary value problems. Zbl 0765.42014
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
18
1992
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
18
2009
\(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
18
2020
Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014
Greene, R. E.; Krantz, Steven G.
17
1981
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
17
2005
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
17
2008
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
17
2002
Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017
Greene, Robert E.; Krantz, Steven G.
16
1993
Lipschitz spaces on stratified groups. Zbl 0529.22006
Krantz, Steven
16
1982
Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020
Greene, Robert E.; Krantz, Steven G.
16
1985
Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004
Krantz, Steven G.
16
1979
A unique continuation problem for holomorphic mappings. Zbl 0781.32018
Huang, Xiaojun; Krantz, Steven G.
15
1993
Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011
Greene, Robert E.; Krantz, Steven G.
15
1984
Geometric analysis and function spaces. Expository lectures from the NSF- CBMS regional conference held at George Mason University, Fairfax, VA (USA), May 26-31, 1992. Zbl 0783.32001
Krantz, Steven G.
14
1993
Invariants of Bergman geometry and the automorphism groups of domains in \({\mathbb{C}^n}\). Zbl 0997.32012
Greene, R. E.; Krantz, S. G.
14
1991
Area integral characterizations of functions in Hardy spaces on domains in \(\mathbb{C}^ n\). Zbl 0887.32002
Krantz, Steven G.; Li, Song-Ying
13
1997
Complex analysis: the geometric viewpoint. Zbl 0743.30002
Krantz, Steven G.
13
1990
Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations. Zbl 0382.32012
Krantz, Steven G.
13
1978
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
13
2016
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
13
2002
Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014
Greene, Robert E.; Krantz, Steven G.
12
1985
Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004
Krantz, Steven G.
12
1980
A note on Hardy spaces and functions of bounded mean oscillation on domains in \(\mathbb{C}^ n\). Zbl 0802.32013
Krantz, Steven G.; Li, Song-Ying
11
1994
On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008
Krantz, Steven G.; Yu, Jiye
11
1996
A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019
Huang, Xiaojun; Krantz, S. G.; Ma, D.; Pan, Y.
11
1995
Function theory of one complex variable. Zbl 0880.30003
Greene, Robert E.; Krantz, Steven G.
11
1997
The boundary behavior of the Kobayashi metric. Zbl 0760.32010
Krantz, Steven G.
11
1992
Optimal \(L^ p\) estimates for the \(\bar \partial\)-equation on complex ellipsoids in \(\mathbb{C}^ n\). Zbl 0789.32011
Chen, Zhenhua; Krantz, Steven G.; Ma, Daowei
10
1993
A characterization of generalized complex ellipsoids in \(\mathbb{C}^ n\) and related results. Zbl 0782.32027
Krantz, Steven G.
10
1992
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
10
2017
Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004
Krantz, Steven G.
10
1979
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
10
2008
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
10
2004
The Kobayashi metric of a complex ellipsoid in \(\mathbb{C}^ 2\). Zbl 0783.32012
Blank, Brian E.; Fan, Dashan; Klein, David; Krantz, Steven G.; Ma, Daowei; Pang, Myung-Yull
9
1992
Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001
Fu, Siqi; Isaev, A. V.; Krantz, Steven G.
9
1996
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
9
1991
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
9
2008
On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042
Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D.
9
2002
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
9
2006
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
8
2002
Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints. Zbl 0746.35025
Krantz, Steven G.; Paulsen, William H.
8
1991
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
8
2008
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
8
2003
Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation. Zbl 0357.46037
Krantz, Steven G.
8
1976
The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces. Zbl 0903.47019
Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard
7
1997
On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016
Isaev, A. V.; Krantz, S. G.
7
1996
A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Zbl 0518.32009
Cima, Joseph A.; Krantz, Steven G.; Suffridge, Ted J.
7
1984
Antisocial subcovers of self-centered coverings. Zbl 0631.52013
Krantz, Steven G.; Parsons, T. D.
7
1986
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
7
1985
Characterization of smooth domains in C by their biholomorphic self-maps. Zbl 0524.30007
Krantz, Steven G.
7
1983
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
7
2018
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
7
2012
Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029
Jewell, Nicholas P.; Krantz, Steven G.
7
1979
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type. Zbl 1457.42027
Dao, Nguyen Anh; Krantz, Steven G.
7
2021
Convexity in complex analysis. Zbl 0739.32019
Krantz, Steven G.
6
1991
Fatou theorems on domains in \({\mathbb{C}}^ n\). Zbl 0614.32007
Krantz, Steven G.
6
1987
Animal shapes, modal analysis, and visualization of motion. I: Horse and camel. Zbl 1520.92009
Chen, Goong; Huang, Jingtong; Wei, Chunqiu; Yang, Jing; Scully, Matthew M.; Sergeev, Alexey; Chen, Ming-Chieh; Krantz, Steven G.; Yao, Pengfei; Guo, Tiexin; Wang, Junmin
3
2023
Animal shapes, modal analysis, and visualization of motion. II: Dynamics and Fourier decomposition. Zbl 1519.92018
Chen, Goong; Wei, Chunqiu; Sergeev, Alexey; Yang, Jing; Huang, Jingtong Kaya; Scully, Matthew M.; Chen, Ming-Chieh; Krantz, Steven G.; Yao, Pengfei; Guo, Tiexin; Wang, Junmin
2
2023
Irregularity of the Bergman projection on smooth unbounded worm domains. Zbl 1517.32006
Krantz, Steven G.; Monguzzi, Alessandro; Peloso, Marco M.; Stoppato, Caterina
1
2023
Mathematical analysis and topology of SARS-CoV-2, bonding with cells and unbonding. Zbl 1501.37087
Rao, Arni S. R. Srinivasa; Krantz, Steven G.
1
2022
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type. Zbl 1457.42027
Dao, Nguyen Anh; Krantz, Steven G.
7
2021
Some remarks on \(L^1\) embeddings in the subelliptic setting. Zbl 1465.46033
Krantz, Steven G.; Peloso, Marco M.; Spector, Daniel
3
2021
Cauchy integral commutators and Hardy factorization on Lorentz spaces. Zbl 1459.42018
Dao, Nguyen Anh; Krantz, Steven G.; Lam, Nguyen
2
2021
A calculus approach to complex variables. Zbl 1505.30033
Krantz, Steven G.
2
2021
Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions. Zbl 1477.32013
Di Biase, Fausto; Krantz, Steven G.
1
2021
On an invariant distance induced by the Szegő kernel. Zbl 1487.32027
Krantz, Steven G.; Wójcicki, Paweł M.
1
2021
\(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
18
2020
True epidemic growth construction through harmonic analysis. Zbl 1437.92124
Krantz, Steven G.; Polyakov, Peter; Rao, Arni S. R. Srinivasa
4
2020
Applications of Bergman representative coordinates. Zbl 1442.32003
Krantz, Steven G.
1
2020
Differential equations. A modern approach with wavelets. Zbl 1454.34001
Krantz, Steven G.
1
2020
Approximation by holomorphic functions of several complex variables. Zbl 1457.32028
Krantz, Steven G.; Min, Baili
1
2020
The Besicovitch covering lemma and maximal functions. Zbl 1418.42030
Krantz, Steven G.
3
2019
Canonical kernels versus constructible kernels. Zbl 1429.30016
Krantz, Steven G.
2
2019
Completeness on the worm domain and the Müntz-Szász problem for the Bergman space. Zbl 1421.32012
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
2
2019
Complex variables. A physical approach with applications. 2nd edition. Zbl 1410.30001
Krantz, Steven G.
1
2019
The Fefferman-Szegő metric and applications. Zbl 1417.32014
Krantz, Steven G.
1
2019
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
7
2018
On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003
Krantz, Steven G.
4
2018
Uniqueness properties of Hardy space functions. Zbl 1393.32003
Krantz, Steven G.
1
2018
Semicontinuity of automorphism groups: the converse direction. Zbl 1398.32030
Krantz, Steven G.
1
2018
Uniqueness properties of harmonic functions. Zbl 1398.31003
Krantz, Steven G.
1
2018
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
10
2017
The weighted Bergman kernel and the Green’s function. Zbl 1361.30096
Krantz, Steven; Wójcicki, Paweł M.
3
2017
A primer of mathematical writing. Being a disquisition on having your ideas recorded, typeset, published, read, and appreciated. 2nd edition. Zbl 1390.00064
Krantz, Steven G.
2
2017
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
13
2016
Local maximum modulus property for polyanalytic functions. Zbl 1332.30070
Daghighi, Abtin; Krantz, Steven G.
2
2016
The Greene-Krantz conjecture in dimension two. Zbl 1405.32026
Krantz, Steven G.
2
2016
Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014
Daghighi, Abtin; Krantz, Steven
1
2016
The theory and practice of conformal geometry. Zbl 1349.30002
Krantz, Steven G.
1
2016
Convex analysis. Zbl 1310.26001
Krantz, Steven G.
6
2015
Reflections on Paul Erdős on his birth centenary. Zbl 1338.01020
Lóvasz, László; Sós, Vera T.; Graham, Ronald L.; Spencer, Joel; Kahane, Jean-Pierre; Nathanson, Melvyn B.
3
2015
How to teach mathematics. 3rd edition. Zbl 1338.97006
Krantz, Steven G.
2
2015
Smoothness to the boundary of biholomoprhic mappings: an overview. Zbl 1345.32016
Krantz, Steven G.
2
2015
I, Mathematician. Zbl 1393.00002
1
2015
A note on a conjecture concerning boundary uniqueness. Zbl 1319.30027
Daghighi, Abtin; Krantz, Steven G.
1
2015
A direct connection between the Bergman and Szegő projections. Zbl 1297.32005
Krantz, Steven G.
5
2014
The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004
3
2014
A history of the Corona problem. Zbl 1317.30082
Douglas, Ronald G.; Krantz, Steven G.; Sawyer, Eric T.; Treil, Sergei; Wicks, Brett D.
3
2014
The Corona problem in several complex variables. Zbl 1317.32004
Krantz, Steven G.
2
2014
Real analysis and foundations. 3rd ed. Zbl 1278.26001
Krantz, Steven G.
2
2014
The impact of the theorem of Bun Wong and Rosay. Zbl 1290.32019
Krantz, Steven G.
1
2014
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
70
2013
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
30
2013
The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems. Zbl 1277.32014
Royden, Halsey; Wong, Pit-Mann; Krantz, Steven G.
5
2013
Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case. Zbl 1271.32021
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.; Seo, Aeryeong
5
2013
The automorphism groups of domains in complex space: a survey. Zbl 1274.32001
Krantz, Steven G.
4
2013
On limits of sequences of holomorphic functions. Zbl 1294.30011
Krantz, Steven G.
1
2013
A guide to functional analysis. Zbl 1271.46001
Krantz, Steven G.
1
2013
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
7
2012
The automorphism group of a domain with an exponentially flat boundary point. Zbl 1227.32031
Krantz, Steven G.
2
2012
Geometric properties of boundary orbit accumulation points. Zbl 1247.32020
Krantz, Steven G.
1
2012
The elements of advanced mathematics. 3rd ed. Zbl 1243.03001
Krantz, Steven G.
1
2012
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
39
2011
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
38
2011
The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005
Krantz, Steven G.
5
2011
Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018
Krantz, Steven G.
5
2011
Boundary decomposition of the Bergman kernel. Zbl 1226.30006
Krantz, Steven G.
2
2011
Convexity in real analysis. Zbl 1246.26010
Krantz, Steven G.
2
2011
Normed domains of holomorphy. Zbl 1196.32009
Krantz, Steven G.
4
2010
On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002
Krantz, Steven G.
2
2010
Essentials of topology with applications. Zbl 1178.54001
Krantz, Steven G.
2
2010
The corona problem with two pieces of data. Zbl 1204.32004
Krantz, Steven G.
2
2010
An episodic history of mathematics. Mathematical culture through problem solving. Zbl 1194.00004
Krantz, Steven G.
1
2010
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
63
2009
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
18
2009
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
6
2009
A guide to topology. Zbl 1170.54001
Krantz, Steven G.
2
2009
An ontology of directional regularity implying joint regularity. Zbl 1186.26008
Krantz, Steven G.
2
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
100
2008
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
36
2008
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
17
2008
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
10
2008
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
9
2008
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
8
2008
The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060
Krantz, Steven G.
5
2008
Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007
Krantz, Steven G.
3
2008
A tale of three kernels. Zbl 1157.32005
Krantz, Steven G.
3
2008
The Hartogs extension phenomenon redux. Zbl 1140.32007
Krantz, Steven G.
1
2008
On functions in \(p\)-adic \(BMO\) and the distribution of prime integers. Zbl 1119.46029
Krantz, Steven G.
4
2007
The Carathéodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space. Zbl 1143.46024
Cima, Joseph A.; Graham, Ian; Kim, Kang Tae; Krantz, Steven G.
3
2007
The Lindelöf principle in several complex variables. Zbl 1109.32006
Krantz, Steven G.
3
2007
The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002
Krantz, Steven G.
2
2007
How to write your first paper. Zbl 1145.00301
Krantz, Steven G.
1
2007
A tribute to Professor william f. ames on his 80th birthday. Zbl 1151.01322
Agarwal, Ravi P.; Krantz, Steven G.
1
2007
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
47
2006
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
44
2006
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
9
2006
On determining sets for holomorphic automorphisms. Zbl 1144.32012
Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D.
4
2006
Calculus. Multivariable. Zbl 1098.26002
Blank, Brian E.; Krantz, Steven G.
1
2006
A new proof and a generalization of Ramadanov’s theorem. Zbl 1112.32003
Krantz, Steven G.
1
2006
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
17
2005
Analytic polyhedra in \(\mathbb C^2\) with a non-compact automorphism group. Zbl 1062.32020
Kim, Kang-Tae; Krantz, Steven G.; Spiro, Andrea F.
4
2005
Real analysis and foundations. 2nd ed. Zbl 1056.26001
Krantz, Steven G.
3
2005
Two results on uniqueness of conformal mappings. Zbl 1083.30010
Krantz, Steven G.
2
2005
Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002
Krantz, Steven G.
2
2005
The automorphism groups of domains. Zbl 1138.32302
Kim, Kang-Tae; Krantz, Steven G.
2
2005
...and 131 more Documents
all top 5

Cited by 3,330 Authors

110 Krantz, Steven George
28 Kim, Kang-Tae
23 Örnek, Bülent Nafi
23 Stević, Stevo
19 Yang, Dachun
16 Tu, Zhenhan
15 Liu, Taishun
14 Li, Songying
14 Shoikhet, David
13 Peloso, Marco Maria
12 Chang, Der-Chen E.
12 Dovbush, Peter V.
12 Duong, Xuan Thinh
12 Isaev, Alexander
12 Ninh Văn Thu
12 Verma, Kaushal
12 Zimmer, Andrew M.
11 Chakrabarti, Debraj
11 Chen, Shaolin
11 de la Llave, Rafael
11 Huang, Xiaojun
11 Lee, Kang-Hyurk
11 Yang, Sibei
10 Byun, Jisoo
10 Gaussier, Hervé
10 Ha, Ly Kim
10 Tang, Xiaomin
9 Fridman, Buma L.
9 Giga, Yoshikazu
9 Hamada, Hidetaka
9 Lebl, Jiří
9 Ma, Daowei
9 Noell, Alan V.
9 Peralta-Salas, Daniel
9 Şahutoğlu, Sönmez
9 Wu, Huoxiong
9 Yang, Dongyong
9 Zeytuncu, Yunus Ergýn
8 Agler, Jim
8 Chen, Bo-Yong
8 Fu, Siqi
8 Greene, Robert Everist
8 Harrington, Phillip S.
8 Lanzani, Loredana
8 McNeal, Jeffery D.
8 Monguzzi, Alessandro
8 Nicolay, Samuel
8 Ren, Guangbin
8 Yan, Lixin
8 Zhu, Kehe
7 Bracci, Filippo
7 Brackx, Fred F.
7 Chen, Liwei
7 Choe, Boo Rim
7 De Schepper, Hennie
7 Fornæss, John Erik
7 Guo, Kunyu
7 Klep, Igor
7 Lamel, Bernhard
7 Liu, Bingyuan
7 Liu, Yongmin
7 Marchese, Andrea
7 Mitrea, Marius
7 Ravisankar, Sivaguru
7 Seshadri, Harish
7 Stein, Elias Menachem
7 Straube, Emil J.
7 Wang, Junmin
7 Wick, Brett Duane
7 Yamamori, Atsushi
7 Yu, Yanyan
7 Zhang, Liyou
7 Zhang, Shuo
7 Zhu, Jianfeng
6 Akyel, Tuğba
6 Berhanu, Shiferaw
6 Bernal-Gonzàlez, Luis
6 Boas, Harold P.
6 Bory Reyes, Juan
6 Cao, Guangfu
6 Chen, Dazhao
6 Choi, Young-Jun
6 Cordero, Elena
6 Čučković, Željko
6 Dall’Ara, Gian Maria
6 Dao, Nguyen Anh
6 Delladio, Silvano
6 Elin, Mark
6 Engliš, Miroslav
6 Gardner, Richard J.
6 Jiang, Zhijie
6 Kim, Hyeseon
6 Kim, Sung-Yeon
6 Kohr, Gabriela
6 Kosiński, Łukasz
6 Lewandowski, Arkadiusz
6 Li, Ji
6 Li, Songxiao
6 Nestoridis, Vassili
6 Nicola, Fabio
...and 3,230 more Authors
all top 5

Cited in 547 Serials

179 Journal of Mathematical Analysis and Applications
161 The Journal of Geometric Analysis
80 Proceedings of the American Mathematical Society
71 Journal of Functional Analysis
66 Complex Variables and Elliptic Equations
64 Transactions of the American Mathematical Society
56 Advances in Mathematics
54 Mathematische Annalen
46 Complex Analysis and Operator Theory
42 Mathematische Zeitschrift
35 Journal of Differential Equations
33 Applied Mathematics and Computation
23 Duke Mathematical Journal
23 Integral Equations and Operator Theory
22 Rocky Mountain Journal of Mathematics
22 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Mathematische Nachrichten
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal d’Analyse Mathématique
19 Annales de l’Institut Fourier
19 Science China. Mathematics
18 International Journal of Mathematics
17 Linear Algebra and its Applications
16 Journal of Approximation Theory
16 Michigan Mathematical Journal
16 Communications in Partial Differential Equations
16 Journal of Inequalities and Applications
16 Computational Methods and Function Theory
15 Mathematical Methods in the Applied Sciences
15 Archiv der Mathematik
15 Automatica
15 Inventiones Mathematicae
15 Monatshefte für Mathematik
15 Filomat
15 Complex Analysis and its Synergies
14 Manuscripta Mathematica
14 Science in China. Series A
14 SIAM Journal on Mathematical Analysis
14 Potential Analysis
14 Acta Mathematica Sinica. English Series
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Communications in Mathematical Physics
13 Bulletin of the London Mathematical Society
13 Results in Mathematics
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Revista Matemática Iberoamericana
12 Calculus of Variations and Partial Differential Equations
11 Archive for Rational Mechanics and Analysis
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Bulletin of the American Mathematical Society. New Series
11 Indagationes Mathematicae. New Series
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Abstract and Applied Analysis
11 Analysis and Mathematical Physics
10 Israel Journal of Mathematics
10 Mathematical Notes
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Bulletin of the Australian Mathematical Society
9 Indiana University Mathematics Journal
9 Pacific Journal of Mathematics
9 Systems & Control Letters
9 Annals of Global Analysis and Geometry
9 Constructive Approximation
9 Geometric and Functional Analysis. GAFA
9 Advances in Applied Clifford Algebras
9 Bulletin des Sciences Mathématiques
9 The Journal of Fourier Analysis and Applications
9 Mediterranean Journal of Mathematics
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Journal of Function Spaces
8 Computers & Mathematics with Applications
8 Journal of Statistical Physics
8 Chaos, Solitons and Fractals
8 Collectanea Mathematica
8 Journal of Computational and Applied Mathematics
8 Nagoya Mathematical Journal
8 Tôhoku Mathematical Journal. Second Series
8 Chinese Annals of Mathematics. Series B
8 Physica D
8 Forum Mathematicum
8 Journal of Mathematical Sciences (New York)
7 Studia Mathematica
7 Arkiv för Matematik
7 Journal of the American Mathematical Society
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Expositiones Mathematicae
7 Mathematical Programming. Series A. Series B
7 Mathematical Inequalities & Applications
7 Annales Henri Poincaré
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Banach Journal of Mathematical Analysis
6 Annales Polonici Mathematici
6 Journal of Econometrics
6 Kodai Mathematical Journal
6 Probability Theory and Related Fields
6 The Annals of Applied Probability
6 Applied and Computational Harmonic Analysis
6 The New York Journal of Mathematics
5 American Mathematical Monthly
5 Applicable Analysis
...and 447 more Serials
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Cited in 61 Fields

1,085 Several complex variables and analytic spaces (32-XX)
419 Functions of a complex variable (30-XX)
412 Partial differential equations (35-XX)
394 Operator theory (47-XX)
320 Functional analysis (46-XX)
268 Harmonic analysis on Euclidean spaces (42-XX)
178 Differential geometry (53-XX)
123 Real functions (26-XX)
122 Global analysis, analysis on manifolds (58-XX)
118 Dynamical systems and ergodic theory (37-XX)
115 Numerical analysis (65-XX)
106 Probability theory and stochastic processes (60-XX)
98 Potential theory (31-XX)
91 Ordinary differential equations (34-XX)
88 Calculus of variations and optimal control; optimization (49-XX)
79 Systems theory; control (93-XX)
62 Quantum theory (81-XX)
59 Convex and discrete geometry (52-XX)
57 Operations research, mathematical programming (90-XX)
56 Approximations and expansions (41-XX)
55 Fluid mechanics (76-XX)
54 Measure and integration (28-XX)
50 Algebraic geometry (14-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
49 Mechanics of deformable solids (74-XX)
45 Statistical mechanics, structure of matter (82-XX)
44 Statistics (62-XX)
41 Computer science (68-XX)
40 Combinatorics (05-XX)
38 Number theory (11-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Special functions (33-XX)
35 Biology and other natural sciences (92-XX)
34 Topological groups, Lie groups (22-XX)
33 Abstract harmonic analysis (43-XX)
30 Manifolds and cell complexes (57-XX)
29 Difference and functional equations (39-XX)
27 Mathematical logic and foundations (03-XX)
27 Integral equations (45-XX)
25 Mechanics of particles and systems (70-XX)
23 General topology (54-XX)
22 Geometry (51-XX)
18 Group theory and generalizations (20-XX)
17 Information and communication theory, circuits (94-XX)
16 History and biography (01-XX)
14 Relativity and gravitational theory (83-XX)
12 Integral transforms, operational calculus (44-XX)
11 Optics, electromagnetic theory (78-XX)
7 General and overarching topics; collections (00-XX)
7 Commutative algebra (13-XX)
6 Associative rings and algebras (16-XX)
6 Mathematics education (97-XX)
5 Field theory and polynomials (12-XX)
4 Nonassociative rings and algebras (17-XX)
4 Sequences, series, summability (40-XX)
4 Geophysics (86-XX)
3 Category theory; homological algebra (18-XX)
3 Algebraic topology (55-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
2 \(K\)-theory (19-XX)

Citations by Year

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