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Krantz, Steven George

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Author ID: krantz.steven-george Recent zbMATH articles by "Krantz, Steven George"
Published as: Krantz, S. G.; Krantz, Steven; Krantz, Steven G.; Krantz, Steven George
Homepage: https://www.math.wustl.edu/~sk/
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 295 Publications since 1976, including 82 Books
Reviewing Activity: 195 Reviews
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Co-Authors

152 single-authored
19 Greene, Robert Everist
19 Kim, Kang-Tae
13 Li, Songying
13 Peloso, Marco Maria
12 Parks, Harold R.
11 Isaev, Alexander
7 Ma, Daowei
4 Chang, Der-Chen E.
4 Fontana, Luigi
4 Fu, Siqi
3 Bedford, Eric
3 Blank, Brian E.
3 Chen, Goong
3 Cima, Joseph A.
3 Daghighi, Abtin
3 D’Angelo, John P.
3 Huang, Xiaojun
3 Rochberg, Richard
2 Alladi, Krishnaswami
2 Aron, Richard M.
2 Douglas, Ronald George
2 Fridman, Buma L.
2 Gavosto, Estela Ana
2 Jorgenson, Jay Alan
2 Kahane, Jean-Pierre
2 Munao, Simone
2 Nathanson, Melvyn Bernard
2 Osserman, Robert
2 Parsons, Torrence D.
2 Sawyer, Eric T.
2 Stein, Elias Menachem
2 Stoppato, Caterina
2 Treil, Sergei
1 Agarwal, Ravi P.
1 Aladro, Gerardo
1 Alon, Noga M.
1 Bell, Steven R.
1 Bland, John S.
1 Bott, Raoul Harry
1 Burns, Daniel M. jun.
1 Byun, Jisoo
1 Casazza, Peter George
1 Chen, Liwei
1 Chen, Zhenhua
1 Cheung, Wing-Sum
1 Coleman, Matthew P.
1 Dao, Nguyen Anh
1 Duncan, John
1 Earle, Clifford J.
1 Erdős, Pál
1 Fan, Dashan
1 Fornæss, John Erik
1 Garcia, Stephan Ramon
1 Gaussier, Hervé
1 Gehring, Frederick William
1 Gifford, James A.
1 Godsil, Christopher David
1 Goldston, Daniel Alan
1 Graham, Ian R.
1 Graham, Ronald Lewis
1 Hejhal, Dennis A.
1 Hintikka, Eric A.
1 Jenkis, James
1 Jensen, Gary R.
1 Jewell, Nicholas P.
1 Jørgensen, Troels
1 Kaiser, Klaus Hermann
1 Klein, David J.
1 Kra, Irwin
1 Kuperberg, Gregory John
1 Lin, Peng
1 Liu, Bingyuan
1 Lovász, László
1 Marden, Albert
1 McCallum, William G.
1 McCarthy, John Edward
1 McNeal, Jeffery D.
1 Min, Baili
1 Pan, Yifei
1 Pang, Myungyull
1 Paulsen, William H.
1 Polyakov, Peter L.
1 Rădulescu, Vicenţiu D.
1 Rao, Arni S. R. Srinivasa
1 Royden, Halsey
1 Ruden, Randi D.
1 Russel, David L.
1 Salinas, Norberto
1 Sárközy, András
1 Sawyer, Stanley A.
1 Seo, Aeryeong
1 Shoemaker, Amy L.
1 Sós, Vera Turán
1 Spector, Daniel E.
1 Spencer, Joel H.
1 Spiro, Andrea F.
1 Stević, Stevo
1 Suffridge, Ted J.
1 Szabados, Jozsef
1 Tenenbaum, Gérald
...and 11 more Co-Authors
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Serials

18 Complex Variables and Elliptic Equations
13 Journal of Mathematical Analysis and Applications
13 Textbooks in Mathematics
11 Rocky Mountain Journal of Mathematics
10 Notices of the American Mathematical Society
9 American Mathematical Monthly
7 Illinois Journal of Mathematics
7 Real Analysis Exchange
7 Complex Variables. Theory and Application
6 Michigan Mathematical Journal
5 Duke Mathematical Journal
5 Indiana University Mathematics Journal
5 Manuscripta Mathematica
5 The Journal of Geometric Analysis
4 Journal of the Korean Mathematical Society
4 Pacific Journal of Mathematics
4 Transactions of the American Mathematical Society
4 The Dolciani Mathematical Expositions
4 Complex Analysis and Operator Theory
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the American Mathematical Society
3 Bulletin of the Korean Mathematical Society
3 Expositiones Mathematicae
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 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 Cornerstones
1 Journal d’Analyse Mathématique
1 Studia Mathematica
1 Mathematics Magazine
1 The Mathematical Intelligencer
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 Experimental Mathematics
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 Bulletin of the American Mathematical Society
1 Fields Institute Communications
1 Graduate Texts in Mathematics
1 Lecture Notes in Mathematics
1 Mathematical Sciences Research Institute Publications
1 Progress in Mathematics
1 Regional Conference Series in Mathematics
1 Electronic Research Announcements in Mathematical Sciences
1 Synthesis Lectures on Mathematics and Statistics
1 Journal of Theoretical Biology
1 International Journal of Analysis and Applications
1 Modern Birkhäuser Classics
1 Applied and Numerical Harmonic Analysis
1 Springer Monographs in Mathematics
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
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Fields

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

Publications by Year

Citations contained in zbMATH

196 Publications have been cited 2,478 times in 1,856 Documents Cited by Year
Function theory of several complex variables. Zbl 0471.32008
Krantz, Steven G.
203
1982
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
133
2001
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
128
2002
Function theory of several complex variables. 2. ed. Zbl 0776.32001
Krantz, Steven G.
126
1992
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
100
2002
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
77
1992
Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008
Burns, Daniel M.; Krantz, Steven G.
73
1994
\(H^ p\) 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.
59
1993
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.
57
1982
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
55
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
49
2008
Distance to \(C^k\) hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
44
1981
Domains with non-compact automorphism group: a survey. Zbl 1040.32019
Isaev, A. V.; Krantz, S. G.
43
1999
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
37
1999
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
35
2001
Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018
Krantz, Steven G.
35
1983
Handbook of complex variables. Zbl 0946.30001
Krantz, Steven G.
34
1999
Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains. Zbl 0303.35059
Krantz, S. G.
31
1976
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
28
2006
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
26
2001
The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003
Cima, Joseph A.; Krantz, Steven G.
26
1983
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
25
2006
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
24
2011
The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016
Greene, Robert E.; Krantz, Steven G.
23
1982
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
21
2008
A criterion for normality in \(\mathbb{C}^ n\). Zbl 0749.32001
Aladro, Gerardo; Krantz, Steven G.
21
1991
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
20
2013
On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018
Isaev, Alexander V.; Krantz, Steven G.
20
2001
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
19
2011
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.
19
1989
Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014
Kim, Kang-Tae; Krantz, Steven G.
18
2001
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
18
1995
On a problem of Moser. Zbl 0846.32010
Huang, Xiaojun; Krantz, Steven G.
18
1995
Partial differential equations and complex analysis. Zbl 0852.35001
Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M.
18
1992
Compactness of the \(\bar \partial\)-Neumann operator. Zbl 0736.35071
Krantz, Steven G.
18
1988
Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017
Greene, Robert E.; Krantz, Steven G.
17
1993
Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006
Krantz, Steven G.; Ma, Daowei
17
1988
A panorama of harmonic analysis. Zbl 0947.42001
Krantz, Steven G.
15
1999
Hardy spaces and elliptic boundary value problems. Zbl 0765.42014
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
15
1992
Invariants of Bergman geometry and the automorphism groups of domains in \({\mathbb{C}^n}\). Zbl 0997.32012
Greene, R. E.; Krantz, S. G.
15
1991
Smoothness to the boundary of conformal maps. Zbl 0626.30005
Bell, Steven R.; Krantz, Steven G.
15
1987
Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\). Zbl 0728.32002
Krantz, Steven G.
14
1991
Biholomorphic self-maps of domains. Zbl 0625.32024
Greene, Robert E.; Krantz, Steven G.
14
1987
Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020
Greene, Robert E.; Krantz, Steven G.
14
1985
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
13
2008
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
13
2002
On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. Zbl 0886.32003
Krantz, Steven G.; Li, Song-Ying
13
1995
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
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.
12
1993
A unique continuation problem for holomorphic mappings. Zbl 0781.32018
Huang, Xiaojun; Krantz, Steven G.
12
1993
Fractional integration on Hardy spaces. Zbl 0504.47034
Krantz, Steven G.
12
1982
Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014
Greene, R. E.; Krantz, Steven G.
12
1981
Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004
Krantz, Steven G.
12
1980
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
11
2009
The boundary behavior of the Kobayashi metric. Zbl 0760.32010
Krantz, Steven G.
11
1992
Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011
Greene, Robert E.; Krantz, Steven G.
11
1984
Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004
Krantz, Steven G.
11
1979
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
10
2013
Function theory of one complex variable. Zbl 0880.30003
Greene, Robert E.; Krantz, Steven G.
10
1997
On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008
Krantz, Steven G.; Yu, Jiye
10
1996
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
10
1994
Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014
Greene, Robert E.; Krantz, Steven G.
10
1985
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
9
2005
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
Area integral characterizations of functions in Hardy spaces on domains in \(\mathbb{C}^ n\). Zbl 0887.32002
Krantz, Steven G.; Li, Song-Ying
9
1997
Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001
Fu, Siqi; Isaev, A. V.; Krantz, Steven G.
9
1996
A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019
Huang, Xiaojun; Krantz, S. G.; Ma, D.; Pan, Y.
9
1995
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
9
1993
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
Complex analysis: the geometric viewpoint. Zbl 0743.30002
Krantz, Steven G.
9
1990
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
8
2004
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
8
2002
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
8
2002
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023
Greene, Robert E.; Krantz, Steven G.
8
1987
Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004
Krantz, Steven G.
8
1979
Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation. Zbl 0357.46037
Krantz, Steven G.
8
1976
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
7
2008
On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016
Isaev, A. V.; Krantz, S. G.
7
1996
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
7
1991
Antisocial subcovers of self-centered coverings. Zbl 0631.52013
Krantz, Steven G.; Parsons, T. D.
7
1986
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
6
2016
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
6
2008
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
6
2006
A matter of gravity. Zbl 1045.51007
Krantz, Steven G.
6
2003
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
6
2003
Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints. Zbl 0746.35025
Krantz, Steven G.; Paulsen, William H.
6
1991
Fatou theorems on domains in \({\mathbb{C}}^ n\). Zbl 0614.32007
Krantz, Steven G.
6
1987
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.
6
1984
Boundary values and estimates for holomorphic functions of several complex variables. Zbl 0431.32004
Krantz, Steven G.
6
1980
Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029
Jewell, Nicholas P.; Krantz, Steven G.
6
1979
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
5
2018
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
5
2012
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
5
2009
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
5
2008
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001
Gifford, J. A.; Isaev, A. V.; Krantz, S. G.
5
2000
Analysis of some function spaces associated to Hankel operators. Zbl 0878.47012
Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard
5
1997
A characterization of generalized complex ellipsoids in \(\mathbb{C}^ n\) and related results. Zbl 0782.32027
Krantz, Steven G.
5
1992
Convexity in complex analysis. Zbl 0739.32019
Krantz, Steven G.
5
1991
On isometric isomorphisms of the Bloch space on the unit ball of \({\mathbb{C}}^ n\). Zbl 0687.32022
Krantz, Steven G.; Ma, Daowei
5
1989
Intersection graphs for families of balls in \(R^n\). Zbl 0659.05079
Erdős, Paul; Godsil, C. D.; Krantz, S. G.; Parsons, T. D.
5
1988
\(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 07191632
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
1
2020
Canonical kernels versus constructible kernels. Zbl 1429.30016
Krantz, Steven G.
1
2019
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
5
2018
Uniqueness properties of Hardy space functions. Zbl 1393.32003
Krantz, Steven G.
1
2018
On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003
Krantz, Steven G.
1
2018
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
2
2017
The weighted Bergman kernel and the Green’s function. Zbl 1361.30096
Krantz, Steven; Wójcicki, Paweł M.
2
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.
1
2017
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
6
2016
The Greene-Krantz conjecture in dimension two. Zbl 1405.32026
Krantz, Steven G.
1
2016
Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014
Daghighi, Abtin; Krantz, Steven
1
2016
Local maximum modulus property for polyanalytic functions. Zbl 1332.30070
Daghighi, Abtin; Krantz, Steven G.
1
2016
Smoothness to the boundary of biholomoprhic mappings: an overview. Zbl 1345.32016
Krantz, Steven G.
2
2015
Reflections on Paul Erdős on his birth centenary. Zbl 1338.01020
Alladi, Krishnaswami (ed.); Krantz, Steven (ed.); Lóvasz, László; Sós, Vera T.; Graham, Ronald L.; Spencer, Joel; Kahane, Jean-Pierre; Nathanson, Melvyn B.
2
2015
Convex analysis. Zbl 1310.26001
Krantz, Steven G.
2
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.
4
2014
The Corona problem in several complex variables. Zbl 1317.32004
Krantz, Steven G.
1
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
Douglas, Ronald G. (ed.); Krantz, Steven G. (ed.); Sawyer, Eric T. (ed.); Treil, Sergei (ed.); Wick, Brett D. (ed.)
1
2014
The impact of the theorem of Bun Wong and Rosay. Zbl 1290.32019
Krantz, Steven G.
1
2014
Real analysis and foundations. 3rd ed. Zbl 1278.26001
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.
20
2013
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
10
2013
The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems. Zbl 1277.32014
Royden, Halsey; Wong, Pit-Mann; Krantz, Steven G.
4
2013
The automorphism groups of domains in complex space: a survey. Zbl 1274.32001
Krantz, Steven G.
3
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
3
2013
On limits of sequences of holomorphic functions. Zbl 1294.30011
Krantz, Steven G.
1
2013
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
5
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 Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
24
2011
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
19
2011
Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018
Krantz, Steven G.
3
2011
The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005
Krantz, Steven G.
2
2011
Convexity in real analysis. Zbl 1246.26010
Krantz, Steven G.
1
2011
Boundary decomposition of the Bergman kernel. Zbl 1226.30006
Krantz, Steven G.
1
2011
On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002
Krantz, Steven G.
2
2010
The corona problem with two pieces of data. Zbl 1204.32004
Krantz, Steven G.
1
2010
Normed domains of holomorphy. Zbl 1196.32009
Krantz, Steven G.
1
2010
Essentials of topology with applications. Zbl 1178.54001
Krantz, Steven G.
1
2010
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
55
2009
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
11
2009
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
5
2009
An ontology of directional regularity implying joint regularity. Zbl 1186.26008
Krantz, Steven G.
1
2009
A guide to topology. Zbl 1170.54001
Krantz, Steven G.
1
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
49
2008
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
21
2008
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
13
2008
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
7
2008
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
6
2008
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
5
2008
Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007
Krantz, Steven G.
2
2008
A tale of three kernels. Zbl 1157.32005
Krantz, Steven G.
2
2008
The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060
Krantz, Steven G.
2
2008
The Hartogs extension phenomenon redux. Zbl 1140.32007
Krantz, Steven G.
1
2008
The Lagrange inversion theorem in the smooth case. Zbl 1194.26040
Krantz, Steven G.; Parks, Harold R.
1
2008
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
On functions in \(p\)-adic \(BMO\) and the distribution of prime integers. Zbl 1119.46029
Krantz, Steven G.
3
2007
The Lindelöf principle in several complex variables. Zbl 1109.32006
Krantz, Steven G.
3
2007
A tribute to Professor william f. ames on his 80th birthday. Zbl 1151.01322
Agarwal, Ravi P.; Krantz, Steven G.
2
2007
How to write your first paper. Zbl 1145.00301
Krantz, Steven G.
1
2007
The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002
Krantz, Steven G.
1
2007
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
28
2006
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
25
2006
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
6
2006
On determining sets for holomorphic automorphisms. Zbl 1144.32012
Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D.
4
2006
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
9
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.
3
2005
The automorphism groups of domains. Zbl 1138.32302
Kim, Kang-Tae; Krantz, Steven G.
2
2005
Real analysis and foundations. 2nd ed. Zbl 1056.26001
Krantz, Steven G.
2
2005
Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002
Krantz, Steven G.
1
2005
Mathematical publishing. A guidebook. Zbl 1084.00004
Krantz, Steven G.
1
2005
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
8
2004
Creating more convergent series. Zbl 1044.40001
Krantz, Steven G.; McNeal, Jeffery D.
1
2004
A matter of gravity. Zbl 1045.51007
Krantz, Steven G.
6
2003
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
6
2003
Normal families of holomorphic functions and mappings on a Banach space. Zbl 1069.46026
Kim, Kang-Tae; Krantz, Steven G.
3
2003
Determining sets and fixed points for holomorphic endomorphisms. Zbl 1053.32010
Kim, Kang-Tae; Krantz, Steven G.
3
2003
The Bergman metric invariants and their boundary behavior. Zbl 1048.32002
Kim, Kang-Tae; Krantz, Steven G.
3
2003
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
128
2002
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
100
2002
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
13
2002
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
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
8
2002
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
8
2002
A smoothly bounded domain in a complex surface with a compact quotient. Zbl 1028.32010
Cheung, Wing Sum; Fu, Siqi; Krantz, Steven G.; Wong, Bun
2
2002
Determination of a domain in complex space by its automorphism group. Zbl 1030.32018
Krantz, Steven G.
2
2002
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
133
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
35
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
26
2001
On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018
Isaev, Alexander V.; Krantz, Steven G.
20
2001
Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014
Kim, Kang-Tae; Krantz, Steven G.
18
2001
Dictionary of algebra, arithmetic, and trigonometry. Zbl 0967.00001
Krantz, Steven G. (ed.)
1
2001
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001
Gifford, J. A.; Isaev, A. V.; Krantz, S. G.
5
2000
Fatou theorems old and new: An overview of the boundary behavior of holomorphic functions. Zbl 0965.32007
Krantz, Steven G.
2
2000
Invariant distances and metrics in complex analysis. Zbl 1040.32012
Isaev, Alexander V.; Krantz, Steven G.
1
2000
Characterization of Reinhardt domains by their automorphism groups. Zbl 0965.32005
Isaev, Alexander V.; Krantz, Steven G.
1
2000
Domains with non-compact automorphism group: a survey. Zbl 1040.32019
Isaev, A. V.; Krantz, S. G.
43
1999
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
37
1999
Handbook of complex variables. Zbl 0946.30001
Krantz, Steven G.
34
1999
...and 96 more Documents
all top 5

Cited by 2,238 Authors

83 Krantz, Steven George
26 Kim, Kang-Tae
22 Stević, Stevo
15 Liu, Taishun
14 Yang, Dachun
13 Tu, Zhenhan
12 Chang, Der-Chen E.
12 Isaev, Alexander
12 Li, Songying
12 Shoikhet, David
11 de la Llave, Rafael
11 Huang, Xiaojun
10 Byun, Jisoo
10 Ninh Văn Thu
10 Peloso, Marco Maria
10 Tang, Xiaomin
9 Fridman, Buma L.
9 Gaussier, Hervé
9 Ma, Daowei
8 Chen, Shaolin
8 Duong, Xuan Thinh
8 McNeal, Jeffery D.
8 Örnek, Bülent Nafi
8 Verma, Kaushal
8 Yang, Sibei
7 Brackx, Fred F.
7 Choe, Boo Rim
7 De Schepper, Hennie
7 Fornæss, John Erik
7 Greene, Robert Everist
7 Ha, Ly Kim
7 Lee, Kang-Hyurk
7 Liu, Bingyuan
7 Peralta-Salas, Daniel
7 Seshadri, Harish
7 Straube, Emil J.
7 Yamamori, Atsushi
7 Yan, Lixin
7 Zeytuncu, Yunus Ergýn
7 Zimmer, Andrew M.
6 Bernal-Gonzàlez, Luis
6 Boas, Harold P.
6 Bracci, Filippo
6 Guo, Kunyu
6 Lanzani, Loredana
6 Li, Songxiao
6 Mitrea, Marius
6 Nestoridis, Vassili
6 Pan, Yifei
6 Stein, Elias Menachem
6 Wang, Jianfei
6 Yang, Dongyong
6 Zhang, Liyou
5 Agler, Jim
5 Alpay, Daniel Aron
5 Cao, Guangfu
5 Cao, Jun
5 Chakrabarti, Debraj
5 Chen, Bo-Yong
5 Cho, Hong Rae
5 Čučković, Željko
5 Ding, Yong
5 Dovbush, Piotr V.
5 Elin, Mark
5 Engliš, Miroslav
5 Fu, Siqi
5 Gong, Sheng
5 Harrington, Phillip S.
5 Haslinger, Friedrich
5 Kim, Hyeseon
5 Lebl, Jiří
5 Lee, Young Joo
5 Liu, Yongmin
5 Monguzzi, Alessandro
5 Nicolay, Samuel
5 Nikolov, Nikolai Marinov
5 Noell, Alan V.
5 Popescu, Gelu
5 Ren, Guangbin
5 Şahutoğlu, Sönmez
5 Shapiro, Michael V.
5 Sommen, Franciscus
5 Ungar, Abraham Albert
5 Wick, Brett D.
5 Yin, Wanke
5 Yu, Yanyan
5 Zheng, Dechao
5 Zhou, Xiangyu
5 Zhu, Kehe
4 Barrett, David E.
4 Berhanu, Shiferaw
4 Bolotnikov, Vladimir
4 Bonet Solves, José
4 Bortolussi, Luca
4 Bory Reyes, Juan
4 Capogna, Luca
4 Caraballo, David G.
4 Chen, Liwei
4 Cho, Sanghyun
4 Cima, Joseph A.
...and 2,138 more Authors
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Cited in 392 Serials

148 Journal of Mathematical Analysis and Applications
98 The Journal of Geometric Analysis
70 Proceedings of the American Mathematical Society
56 Journal of Functional Analysis
55 Transactions of the American Mathematical Society
45 Advances in Mathematics
45 Mathematische Annalen
44 Complex Variables and Elliptic Equations
32 Mathematische Zeitschrift
30 Applied Mathematics and Computation
27 Complex Analysis and Operator Theory
25 Journal of Differential Equations
21 Duke Mathematical Journal
21 Integral Equations and Operator Theory
19 Journal d’Analyse Mathématique
18 Annales de l’Institut Fourier
18 Science China. Mathematics
17 Rocky Mountain Journal of Mathematics
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Linear Algebra and its Applications
15 Michigan Mathematical Journal
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Journal of Inequalities and Applications
13 Journal of Approximation Theory
13 Manuscripta Mathematica
13 Science in China. Series A
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
11 Communications in Mathematical Physics
11 Archiv der Mathematik
11 Monatshefte für Mathematik
11 International Journal of Mathematics
11 Communications in Partial Differential Equations
11 Bulletin of the American Mathematical Society. New Series
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Computational Methods and Function Theory
9 Israel Journal of Mathematics
9 Automatica
9 Inventiones Mathematicae
9 Results in Mathematics
9 Potential Analysis
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Acta Mathematica Sinica. English Series
8 Mathematische Nachrichten
8 Tohoku Mathematical Journal. Second Series
8 Systems & Control Letters
8 Calculus of Variations and Partial Differential Equations
8 The Journal of Fourier Analysis and Applications
7 Archive for Rational Mechanics and Analysis
7 Journal of Computational and Applied Mathematics
7 Nagoya Mathematical Journal
7 Revista Matemática Iberoamericana
7 Indagationes Mathematicae. New Series
7 Abstract and Applied Analysis
7 Analysis and Mathematical Physics
7 Journal of Function Spaces
6 Bulletin of the Australian Mathematical Society
6 Computers & Mathematics with Applications
6 Journal of Statistical Physics
6 Mathematical Methods in the Applied Sciences
6 Mathematical Notes
6 Chaos, Solitons and Fractals
6 Collectanea Mathematica
6 Journal of the American Mathematical Society
6 Geometric and Functional Analysis. GAFA
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 SIAM Journal on Mathematical Analysis
6 Journal of Mathematical Sciences (New York)
6 Advances in Applied Clifford Algebras
6 Bulletin des Sciences Mathématiques
5 Arkiv för Matematik
5 Journal of Geometry and Physics
5 Memoirs of the American Mathematical Society
5 Pacific Journal of Mathematics
5 Chinese Annals of Mathematics. Series B
5 Annals of Global Analysis and Geometry
5 Stochastic Processes and their Applications
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Communications of the Korean Mathematical Society
5 Mediterranean Journal of Mathematics
4 Applicable Analysis
4 Journal of Mathematical Physics
4 Annales Polonici Mathematici
4 Czechoslovak Mathematical Journal
4 Illinois Journal of Mathematics
4 Journal of Economic Theory
4 Journal of Econometrics
4 Journal of Mathematical Economics
4 Kodai Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Topology and its Applications
4 Physica D
4 Probability Theory and Related Fields
4 Journal of Complexity
4 Constructive Approximation
4 Information and Computation
4 Journal of Global Optimization
4 European Journal of Operational Research
4 Expositiones Mathematicae
4 Mathematical Programming. Series A. Series B
...and 292 more Serials
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Cited in 60 Fields

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

Citations by Year

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