## Krantz, Steven George

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 Author ID: 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
 Documents Indexed: 294 Publications since 1976, including 70 Books 17 Contributions as Editor · 2 Further Contributions Reviewing Activity: 195 Reviews Co-Authors: 102 Co-Authors with 148 Joint Publications 3,483 Co-Co-Authors
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### Co-Authors

 163 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 Osserman, Robert 3 Rochberg, Richard 2 Alladi, Krishnaswami 2 Aron, Richard Martin 2 Bott, Raoul Harry 2 Dao, Nguyen Anh 2 Douglas, Ronald George 2 Earle, Clifford J. 2 Fridman, Buma L. 2 Gavosto, Estela Ana 2 Hejhal, Dennis A. 2 Jørgensen, Troels 2 Jorgenson, Jay Alan 2 Kahane, Jean-Pierre 2 Marden, Albert 2 Munao, Simone 2 Nathanson, Melvyn Bernard 2 Parsons, Torrence D. 2 Rao, Arni S. R. Srinivasa 2 Sawyer, Eric T. 2 Stein, Elias Menachem 2 Stoppato, Caterina 2 Treil, Sergei 2 Wójcicki, Paweł M. 1 Agarwal, Ravi P. 1 Aladro, Gerardo 1 Alon, Noga M. 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 Byun, Jisoo 1 Casazza, Peter George 1 Cattaneo, Alberto Sergio 1 Chen, Zhenhua 1 Chuaqui, Martin 1 Coates, John H. 1 Coleman, Matthew P. 1 Dafni, Galia 1 Di Biase, Fausto 1 Duesberg, Peter 1 Duncan, John 1 Erdős, Pál 1 Ewing, John Harwood 1 Fan, Dashan 1 Fefferman, Charles Louis 1 Ferguson, Tim 1 Fornæss, John Erik 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 Hintikka, Eric A. 1 Hirzebruch, Friedrich 1 Howe, Roger Evans 1 Ionescu, Alexandru D. 1 Jackson, Allyn 1 Jeffrey, Lisa Claire 1 Jenkins, James Allister 1 Jenkis, James 1 Jensen, Gary R. 1 Jewell, Nicholas P. 1 Kaiser, Klaus Hermann 1 Kearn, Vickie 1 Kenig, Carlos Eduardo 1 Khavinson, Dima 1 Knapp, Anthony William 1 Kobayashi, Shoshichi 1 Kra, Irwin 1 Kramer, Jürg 1 Kuperberg, Gregory John 1 Lachaud, Gilles ...and 74 more Co-Authors
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### Serials

 18 Complex Variables and Elliptic Equations 14 Journal of Mathematical Analysis and Applications 13 Textbooks in Mathematics 12 Notices of the American Mathematical Society 11 Rocky Mountain Journal of Mathematics 10 American Mathematical Monthly 8 The Journal of Geometric Analysis 7 Illinois Journal of Mathematics 7 Real Analysis Exchange 7 Complex Variables. Theory and Application 6 Michigan Mathematical Journal 6 Complex Analysis and Operator Theory 5 Duke Mathematical Journal 5 Indiana University Mathematics Journal 5 Manuscripta Mathematica 5 Expositiones Mathematicae 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 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 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 Basler Lehrbücher 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 Leituras em Matemática 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 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
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### Fields

 172 Several complex variables and analytic spaces (32-XX) 53 Functions of a complex variable (30-XX) 39 General and overarching topics; collections (00-XX) 30 Partial differential equations (35-XX) 28 History and biography (01-XX) 26 Real functions (26-XX) 24 Functional analysis (46-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Potential theory (31-XX) 8 Mathematics education (97-XX) 6 Mathematical logic and foundations (03-XX) 6 Differential geometry (53-XX) 5 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Convex and discrete geometry (52-XX) 4 Manifolds and cell complexes (57-XX) 4 Computer science (68-XX) 3 Geometry (51-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 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-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 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 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

206 Publications have been cited 2,741 times in 2,068 Documents Cited by Year
Function theory of several complex variables. Zbl 0471.32008
Krantz, Steven G.
1982
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
2002
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
2001
Function theory of several complex variables. 2. ed. Zbl 0776.32001
Krantz, Steven G.
1992
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
2002
Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008
Burns, Daniel M.; Krantz, Steven G.
1994
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
1992
$$H^ p$$ 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.
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.
1982
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
2008
Distance to $$C^k$$ hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
1981
Domains with non-compact automorphism group: a survey. Zbl 1040.32019
Isaev, A. V.; Krantz, S. G.
1999
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
2001
Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018
Krantz, Steven G.
1983
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
2001
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
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.
1976
Handbook of complex variables. Zbl 0946.30001
Krantz, Steven G.
1999
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
2006
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
2011
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
2006
The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003
Cima, Joseph A.; Krantz, Steven G.
1983
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
2008
A criterion for normality in $$\mathbb{C}^ n$$. Zbl 0749.32001
1991
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
2013
The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016
Greene, Robert E.; Krantz, Steven G.
1982
On a problem of Moser. Zbl 0846.32010
Huang, Xiaojun; Krantz, Steven G.
1995
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
1995
On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018
Isaev, Alexander V.; Krantz, Steven G.
2001
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
2011
Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006
Krantz, Steven G.; Ma, Daowei
1988
Compactness of the $$\bar \partial$$-Neumann operator. Zbl 0736.35071
Krantz, Steven G.
1988
Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014
Kim, Kang-Tae; Krantz, Steven G.
2001
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.
1989
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
2013
On decomposition theorems for Hardy spaces on domains in $$\mathbb{C}^ n$$ and applications. Zbl 0886.32003
Krantz, Steven G.; Li, Song-Ying
1995
Fractional integration on Hardy spaces. Zbl 0504.47034
Krantz, Steven G.
1982
Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017
Greene, Robert E.; Krantz, Steven G.
1993
Smoothness to the boundary of conformal maps. Zbl 0626.30005
Bell, Steven R.; Krantz, Steven G.
1987
A panorama of harmonic analysis. Zbl 0947.42001
Krantz, Steven G.
1999
Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020
Greene, Robert E.; Krantz, Steven G.
1985
Hardy spaces and elliptic boundary value problems. Zbl 0765.42014
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
1992
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
2002
Invariant metrics and the boundary behavior of holomorphic functions on domains in $${\mathbb{C}}^ n$$. Zbl 0728.32002
Krantz, Steven G.
1991
A unique continuation problem for holomorphic mappings. Zbl 0781.32018
Huang, Xiaojun; Krantz, Steven G.
1993
Invariants of Bergman geometry and the automorphism groups of domains in $${\mathbb{C}^n}$$. Zbl 0997.32012
Greene, R. E.; Krantz, S. G.
1991
Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004
Krantz, Steven G.
1979
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
2008
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.
1978
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
2009
Biholomorphic self-maps of domains. Zbl 0625.32024
Greene, Robert E.; Krantz, Steven G.
1987
Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004
Krantz, Steven G.
1980
Area integral characterizations of functions in Hardy spaces on domains in $$\mathbb{C}^ n$$. Zbl 0887.32002
Krantz, Steven G.; Li, Song-Ying
1997
Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014
Greene, Robert E.; Krantz, Steven G.
1985
The boundary behavior of the Kobayashi metric. Zbl 0760.32010
Krantz, Steven G.
1992
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
1994
Partial differential equations and complex analysis. Zbl 0852.35001
Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M.
1992
A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019
Huang, Xiaojun; Krantz, S. G.; Ma, D.; Pan, Y.
1995
Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011
Greene, Robert E.; Krantz, Steven G.
1984
Complex analysis: the geometric viewpoint. Zbl 0743.30002
Krantz, Steven G.
1990
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.
1993
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
1993
Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014
Greene, R. E.; Krantz, Steven G.
1981
On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008
Krantz, Steven G.; Yu, Jiye
1996
Lipschitz spaces on stratified groups. Zbl 0529.22006
Krantz, Steven
1982
Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001
Fu, Siqi; Isaev, A. V.; Krantz, Steven G.
1996
On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042
Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D.
2002
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
2005
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
1991
Structure and interpolation theorems for certain Lipschitz spaces and estimates for the $$\overline\partial$$ equation. Zbl 0357.46037
Krantz, Steven G.
1976
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
1992
Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004
Krantz, Steven G.
1979
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
2002
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
2016
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
2004
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
2008
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023
Greene, Robert E.; Krantz, Steven G.
1987
On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016
Isaev, A. V.; Krantz, S. G.
1996
Antisocial subcovers of self-centered coverings. Zbl 0631.52013
Krantz, Steven G.; Parsons, T. D.
1986
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
1985
Characterization of smooth domains in C by their biholomorphic self-maps. Zbl 0524.30007
Krantz, Steven G.
1983
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
2017
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
2003
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
2008
Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029
Jewell, Nicholas P.; Krantz, Steven G.
1979
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
2002
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.
1984
Fatou theorems on domains in $${\mathbb{C}}^ n$$. Zbl 0614.32007
Krantz, Steven G.
1987
Asymptotic eigenfrequency distributions for the $$N$$-beam Euler-Bernoulli coupled beam equation with dissipative joints. Zbl 0746.35025
Krantz, Steven G.; Paulsen, William H.
1991
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001
Gifford, J. A.; Isaev, A. V.; Krantz, S. G.
2000
Characterizations of various domains of holomorphy via $$\overline\partial$$ estimates and applications to a problem of Kohn. Zbl 0394.32009
Krantz, Steven G.
1979
Boundary values and estimates for holomorphic functions of several complex variables. Zbl 0431.32004
Krantz, Steven G.
1980
A matter of gravity. Zbl 1045.51007
Krantz, Steven G.
2003
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
2006
Function theory of one complex variable. Zbl 0880.30003
Greene, Robert E.; Krantz, Steven G.
1997
Analysis of some function spaces associated to Hankel operators. Zbl 0878.47012
Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard
1997
Finite type conditions on Reinhardt domains. Zbl 0955.32028
Fu, Siqi; Isaev, Alexander V.; Krantz, Steven G.
1996
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
1997
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
2009
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type. Zbl 1457.42027
Dao, Nguyen Anh; Krantz, Steven G.
2021
True epidemic growth construction through harmonic analysis. Zbl 1437.92124
Krantz, Steven G.; Polyakov, Peter; Rao, Arni S. R. Srinivasa
2020
Differential equations. A modern approach with wavelets. Zbl 1454.34001
Krantz, Steven G.
2020
$$L^p$$ regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
2020
Applications of Bergman representative coordinates. Zbl 1442.32003
Krantz, Steven G.
2020
The Besicovitch covering lemma and maximal functions. Zbl 1418.42030
Krantz, Steven G.
2019
The Fefferman-Szegő metric and applications. Zbl 1417.32014
Krantz, Steven G.
2019
Complex variables. A physical approach with applications. 2nd edition. Zbl 1410.30001
Krantz, Steven G.
2019
Canonical kernels versus constructible kernels. Zbl 1429.30016
Krantz, Steven G.
2019
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
2018
On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003
Krantz, Steven G.
2018
Uniqueness properties of Hardy space functions. Zbl 1393.32003
Krantz, Steven G.
2018
Semicontinuity of automorphism groups: the converse direction. Zbl 1398.32030
Krantz, Steven G.
2018
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
2017
The weighted Bergman kernel and the Green’s function. Zbl 1361.30096
Krantz, Steven; Wójcicki, Paweł M.
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.
2017
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
2016
The Greene-Krantz conjecture in dimension two. Zbl 1405.32026
Krantz, Steven G.
2016
Local maximum modulus property for polyanalytic functions. Zbl 1332.30070
Daghighi, Abtin; Krantz, Steven G.
2016
Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014
Daghighi, Abtin; Krantz, Steven
2016
Smoothness to the boundary of biholomoprhic mappings: an overview. Zbl 1345.32016
Krantz, Steven G.
2015
Convex analysis. Zbl 1310.26001
Krantz, Steven G.
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.
2015
A note on a conjecture concerning boundary uniqueness. Zbl 1319.30027
Daghighi, Abtin; Krantz, Steven G.
2015
A direct connection between the Bergman and Szegő projections. Zbl 1297.32005
Krantz, Steven G.
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
2014
The impact of the theorem of Bun Wong and Rosay. Zbl 1290.32019
Krantz, Steven G.
2014
The Corona problem in several complex variables. Zbl 1317.32004
Krantz, Steven G.
2014
Real analysis and foundations. 3rd ed. Zbl 1278.26001
Krantz, Steven G.
2014
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
2013
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
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
2013
The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems. Zbl 1277.32014
Royden, Halsey; Wong, Pit-Mann; Krantz, Steven G.
2013
The automorphism groups of domains in complex space: a survey. Zbl 1274.32001
Krantz, Steven G.
2013
A guide to functional analysis. Zbl 1271.46001
Krantz, Steven G.
2013
On limits of sequences of holomorphic functions. Zbl 1294.30011
Krantz, Steven G.
2013
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
2012
The automorphism group of a domain with an exponentially flat boundary point. Zbl 1227.32031
Krantz, Steven G.
2012
Geometric properties of boundary orbit accumulation points. Zbl 1247.32020
Krantz, Steven G.
2012
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
2011
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
2011
Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018
Krantz, Steven G.
2011
The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005
Krantz, Steven G.
2011
Boundary decomposition of the Bergman kernel. Zbl 1226.30006
Krantz, Steven G.
2011
Convexity in real analysis. Zbl 1246.26010
Krantz, Steven G.
2011
On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002
Krantz, Steven G.
2010
Essentials of topology with applications. Zbl 1178.54001
Krantz, Steven G.
2010
Normed domains of holomorphy. Zbl 1196.32009
Krantz, Steven G.
2010
The corona problem with two pieces of data. Zbl 1204.32004
Krantz, Steven G.
2010
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
2009
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
2009
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
2009
An ontology of directional regularity implying joint regularity. Zbl 1186.26008
Krantz, Steven G.
2009
A guide to topology. Zbl 1170.54001
Krantz, Steven G.
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
2008
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
2008
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
2008
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
2008
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
2008
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
2008
The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060
Krantz, Steven G.
2008
Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007
Krantz, Steven G.
2008
A tale of three kernels. Zbl 1157.32005
Krantz, Steven G.
2008
The Hartogs extension phenomenon redux. Zbl 1140.32007
Krantz, Steven G.
2008
On functions in $$p$$-adic $$BMO$$ and the distribution of prime integers. Zbl 1119.46029
Krantz, Steven G.
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.
2007
The Lindelöf principle in several complex variables. Zbl 1109.32006
Krantz, Steven G.
2007
The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002
Krantz, Steven G.
2007
A tribute to Professor william f. ames on his 80th birthday. Zbl 1151.01322
Agarwal, Ravi P.; Krantz, Steven G.
2007
How to write your first paper. Zbl 1145.00301
Krantz, Steven G.
2007
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
2006
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
2006
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
2006
On determining sets for holomorphic automorphisms. Zbl 1144.32012
Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D.
2006
Calculus. Multivariable. Zbl 1098.26002
Blank, Brian E.; Krantz, Steven G.
2006
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
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.
2005
Real analysis and foundations. 2nd ed. Zbl 1056.26001
Krantz, Steven G.
2005
The automorphism groups of domains. Zbl 1138.32302
Kim, Kang-Tae; Krantz, Steven G.
2005
Two results on uniqueness of conformal mappings. Zbl 1083.30010
Krantz, Steven G.
2005
Mathematical publishing. A guidebook. Zbl 1084.00004
Krantz, Steven G.
2005
Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002
Krantz, Steven G.
2005
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
2004
Creating more convergent series. Zbl 1044.40001
Krantz, Steven G.; McNeal, Jeffery D.
2004
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
2003
A matter of gravity. Zbl 1045.51007
Krantz, Steven G.
2003
Normal families of holomorphic functions and mappings on a Banach space. Zbl 1069.46026
Kim, Kang-Tae; Krantz, Steven G.
2003
Determining sets and fixed points for holomorphic endomorphisms. Zbl 1053.32010
Kim, Kang-Tae; Krantz, Steven G.
2003
The Bergman metric invariants and their boundary behavior. Zbl 1048.32002
Kim, Kang-Tae; Krantz, Steven G.
2003
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
2002
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
2002
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
2002
On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042
Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D.
2002
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
2002
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
2002
Determination of a domain in complex space by its automorphism group. Zbl 1030.32018
Krantz, Steven G.
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
2002
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
2001
...and 106 more Documents
all top 5

### Cited by 2,385 Authors

 94 Krantz, Steven George 27 Kim, Kang-Tae 22 Stević, Stevo 18 Örnek, Bülent Nafi 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 Duong, Xuan Thinh 11 Huang, Xiaojun 11 Peloso, Marco Maria 10 Byun, Jisoo 10 Dovbush, Peter V. 10 Ha, Ly Kim 10 Ninh Văn Thu 10 Tang, Xiaomin 9 Fridman, Buma L. 9 Gaussier, Hervé 9 Lebl, Jiří 9 Lee, Kang-Hyurk 9 Ma, Daowei 9 Verma, Kaushal 9 Yang, Dongyong 9 Zimmer, Andrew M. 8 Chen, Shaolin 8 McNeal, Jeffery D. 8 Noell, Alan V. 8 Yang, Sibei 8 Zeytuncu, Yunus Ergýn 7 Brackx, Fred F. 7 Chakrabarti, Debraj 7 Choe, Boo Rim 7 De Schepper, Hennie 7 Fornæss, John Erik 7 Fu, Siqi 7 Greene, Robert Everist 7 Harrington, Phillip S. 7 Lanzani, Loredana 7 Liu, Bingyuan 7 Peralta-Salas, Daniel 7 Seshadri, Harish 7 Stein, Elias Menachem 7 Straube, Emil J. 7 Wu, Huoxiong 7 Yamamori, Atsushi 7 Yan, Lixin 6 Agler, Jim 6 Berhanu, Shiferaw 6 Bernal-Gonzàlez, Luis 6 Boas, Harold P. 6 Bracci, Filippo 6 Čučković, Željko 6 Guo, Kunyu 6 Li, Songxiao 6 Mitrea, Marius 6 Nestoridis, Vassili 6 Nicolay, Samuel 6 Pan, Yifei 6 Ravisankar, Sivaguru 6 Şahutoğlu, Sönmez 6 Shamoyan, Romi F. 6 Wang, Jianfei 6 Wick, Brett D. 6 Zhang, Liyou 5 Akyel, Tuğba 5 Alpay, Daniel Aron 5 Cao, Jun 5 Chen, Bo-Yong 5 Chen, Dazhao 5 Cho, Hong Rae 5 Cho, Sanghyun 5 Ding, Yong 5 Elin, Mark 5 Engliš, Miroslav 5 Gong, Sheng 5 Haslinger, Friedrich 5 Hu, Zhangjian 5 Kim, Hyeseon 5 Klep, Igor 5 Lee, Young Joo 5 Li, Ji 5 Liu, Yongmin 5 Monguzzi, Alessandro 5 Nikolov, Nikolai Marinov 5 Popescu, Gelu 5 Ren, Guangbin 5 Shapiro, Michael V. 5 Sommen, Franciscus 5 Ungar, Abraham Albert 5 Yin, Wanke 5 Yu, Yanyan 5 Zhang, Shuo 5 Zheng, Dechao 5 Zhou, Xiangyu 4 Auscher, Pascal 4 Bandtlow, Oscar F. ...and 2,285 more Authors
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### Cited in 437 Serials

 157 Journal of Mathematical Analysis and Applications 125 The Journal of Geometric Analysis 74 Proceedings of the American Mathematical Society 59 Transactions of the American Mathematical Society 53 Journal of Functional Analysis 49 Complex Variables and Elliptic Equations 48 Mathematische Annalen 47 Advances in Mathematics 36 Mathematische Zeitschrift 34 Complex Analysis and Operator Theory 29 Applied Mathematics and Computation 27 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 15 Michigan Mathematical Journal 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Linear Algebra and its Applications 15 Journal of Inequalities and Applications 14 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Journal of Approximation Theory 13 Manuscripta Mathematica 13 Monatshefte für Mathematik 13 Science in China. Series A 13 International Journal of Mathematics 12 Communications in Mathematical Physics 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Communications in Partial Differential Equations 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Archiv der Mathematik 11 Bulletin of the American Mathematical Society. New Series 10 Israel Journal of Mathematics 10 Automatica 10 Inventiones Mathematicae 10 SIAM Journal on Mathematical Analysis 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Potential Analysis 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Acta Mathematica Sinica. English Series 10 Computational Methods and Function Theory 9 Results in Mathematics 9 Bulletin des Sciences Mathématiques 9 Analysis and Mathematical Physics 9 Journal of Function Spaces 8 Mathematische Nachrichten 8 Tohoku Mathematical Journal. Second Series 8 Systems & Control Letters 8 Annals of Global Analysis and Geometry 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Indagationes Mathematicae. New Series 8 Calculus of Variations and Partial Differential Equations 8 Advances in Applied Clifford Algebras 8 The Journal of Fourier Analysis and Applications 8 Complex Analysis and its Synergies 7 Archive for Rational Mechanics and Analysis 7 Computers & Mathematics with Applications 7 Journal of Statistical Physics 7 Mathematical Notes 7 Nagoya Mathematical Journal 7 Revista Matemática Iberoamericana 7 Geometric and Functional Analysis. GAFA 7 Journal of Mathematical Sciences (New York) 7 Filomat 6 Bulletin of the Australian Mathematical Society 6 Mathematical Methods in the Applied Sciences 6 Collectanea Mathematica 6 Journal of Computational and Applied Mathematics 6 Physica D 6 Journal of the American Mathematical Society 6 Forum Mathematicum 6 Expositiones Mathematicae 6 Abstract and Applied Analysis 5 Arkiv för Matematik 5 Chaos, Solitons and Fractals 5 Indiana University Mathematics Journal 5 Kodai Mathematical Journal 5 Memoirs of the American Mathematical Society 5 Pacific Journal of Mathematics 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Chinese Annals of Mathematics. Series B 5 Constructive Approximation 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Communications of the Korean Mathematical Society 5 Mediterranean Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Acta Mathematica Vietnamica 4 Annales Polonici Mathematici 4 Czechoslovak Mathematical Journal 4 Illinois Journal of Mathematics 4 Journal of Economic Theory 4 Journal of the Korean Mathematical Society 4 Topology and its Applications 4 Bulletin of the Korean Mathematical Society 4 Probability Theory and Related Fields 4 Journal of Complexity ...and 337 more Serials
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### Cited in 59 Fields

 883 Several complex variables and analytic spaces (32-XX) 322 Functions of a complex variable (30-XX) 308 Operator theory (47-XX) 285 Partial differential equations (35-XX) 240 Functional analysis (46-XX) 191 Harmonic analysis on Euclidean spaces (42-XX) 128 Differential geometry (53-XX) 94 Global analysis, analysis on manifolds (58-XX) 80 Dynamical systems and ergodic theory (37-XX) 76 Numerical analysis (65-XX) 75 Real functions (26-XX) 75 Potential theory (31-XX) 72 Probability theory and stochastic processes (60-XX) 64 Ordinary differential equations (34-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 51 Systems theory; control (93-XX) 45 Approximations and expansions (41-XX) 40 Convex and discrete geometry (52-XX) 36 Algebraic geometry (14-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Fluid mechanics (76-XX) 33 Operations research, mathematical programming (90-XX) 32 Mechanics of deformable solids (74-XX) 31 Measure and integration (28-XX) 30 Combinatorics (05-XX) 30 Quantum theory (81-XX) 29 Statistics (62-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Topological groups, Lie groups (22-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Number theory (11-XX) 25 Computer science (68-XX) 22 Biology and other natural sciences (92-XX) 21 Abstract harmonic analysis (43-XX) 20 Mathematical logic and foundations (03-XX) 20 Manifolds and cell complexes (57-XX) 19 Special functions (33-XX) 18 Integral equations (45-XX) 17 Difference and functional equations (39-XX) 17 General topology (54-XX) 16 Mechanics of particles and systems (70-XX) 15 Geometry (51-XX) 13 Group theory and generalizations (20-XX) 11 Information and communication theory, circuits (94-XX) 10 Relativity and gravitational theory (83-XX) 9 History and biography (01-XX) 8 Integral transforms, operational calculus (44-XX) 5 Field theory and polynomials (12-XX) 5 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Geophysics (86-XX) 3 Mathematics education (97-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 Astronomy and astrophysics (85-XX)

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