Edit Profile Krantz, Steven George Compute Distance To: Compute Author ID: 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 all top 5 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 0471.32008Krantz, Steven G. 203 1982 Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001Krantz, Steven G. 133 2001 A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 128 2002 Function theory of several complex variables. 2. ed. Zbl 0776.32001Krantz, Steven G. 126 1992 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 100 2002 A primer of real analytic functions. Zbl 0767.26001Krantz, Steven; Parks, Harold R. 77 1992 Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008Burns, Daniel M.; Krantz, Steven G. 73 1994 \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems. Zbl 0804.35027Chang, 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 0504.32016Greene, Robert E.; Krantz, Steven G. 57 1982 On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056Krantz, Steven G.; Stević, Stevo 55 2009 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 49 2008 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009Krantz, Steven G.; Parks, Harold R. 44 1981 Domains with non-compact automorphism group: a survey. Zbl 1040.32019Isaev, A. V.; Krantz, S. G. 43 1999 The geometry of domains in space. Zbl 0929.26001Krantz, Steven G.; Parks, Harold R. 37 1999 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042Krantz, Steven G.; Li, Song-Ying 35 2001 Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018Krantz, Steven G. 35 1983 Handbook of complex variables. Zbl 0946.30001Krantz, Steven G. 34 1999 Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains. Zbl 0303.35059Krantz, S. G. 31 1976 Geometric function theory. Explorations in complex analysis. Zbl 1086.30001Krantz, Steven G. 28 2006 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043Krantz, Steven G.; Li, Song-Ying 26 2001 The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003Cima, Joseph A.; Krantz, Steven G. 26 1983 Function theory of one complex variable. 3rd ed. Zbl 1114.30001Greene, Robert E.; Krantz, Steven G. 25 2006 The Schwarz lemma at the boundary. Zbl 1227.30023Krantz, Steven G. 24 2011 The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016Greene, Robert E.; Krantz, Steven G. 23 1982 The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016Krantz, Steven G.; Peloso, Marco M. 21 2008 A criterion for normality in \(\mathbb{C}^ n\). Zbl 0749.32001Aladro, Gerardo; Krantz, Steven G. 21 1991 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003Krantz, Steven G.; Parks, Harold R. 20 2013 On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018Isaev, Alexander V.; Krantz, Steven G. 20 2001 The geometry of complex domains. Zbl 1239.32011Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G. 19 2011 Analysis, designs, and behaviour of dissipative joints for coupled beams. Zbl 0685.73046Chen, 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 1065.32014Kim, 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 0835.32004Krantz, Steven G.; Li, Song-Ying 18 1995 On a problem of Moser. Zbl 0846.32010Huang, Xiaojun; Krantz, Steven G. 18 1995 Partial differential equations and complex analysis. Zbl 0852.35001Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M. 18 1992 Compactness of the \(\bar \partial\)-Neumann operator. Zbl 0736.35071Krantz, Steven G. 18 1988 Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017Greene, Robert E.; Krantz, Steven G. 17 1993 Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006Krantz, Steven G.; Ma, Daowei 17 1988 A panorama of harmonic analysis. Zbl 0947.42001Krantz, Steven G. 15 1999 Hardy spaces and elliptic boundary value problems. Zbl 0765.42014Chang, 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 0997.32012Greene, R. E.; Krantz, S. G. 15 1991 Smoothness to the boundary of conformal maps. Zbl 0626.30005Bell, Steven R.; Krantz, Steven G. 15 1987 Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\). Zbl 0728.32002Krantz, Steven G. 14 1991 Biholomorphic self-maps of domains. Zbl 0625.32024Greene, Robert E.; Krantz, Steven G. 14 1987 Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020Greene, Robert E.; Krantz, Steven G. 14 1985 Analysis and geometry on worm domains. Zbl 1147.32020Krantz, Steven G.; Peloso, Marco M. 13 2008 A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G. 13 2002 On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. Zbl 0886.32003Krantz, 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 0382.32012Krantz, 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 0783.32001Krantz, Steven G. 12 1993 A unique continuation problem for holomorphic mappings. Zbl 0781.32018Huang, Xiaojun; Krantz, Steven G. 12 1993 Fractional integration on Hardy spaces. Zbl 0504.47034Krantz, Steven G. 12 1982 Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014Greene, R. E.; Krantz, Steven G. 12 1981 Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004Krantz, Steven G. 12 1980 Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001Krantz, Steven G. 11 2009 The boundary behavior of the Kobayashi metric. Zbl 0760.32010Krantz, Steven G. 11 1992 Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011Greene, Robert E.; Krantz, Steven G. 11 1984 Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004Krantz, Steven G. 11 1979 Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004Krantz, Steven G. 10 2013 Function theory of one complex variable. Zbl 0880.30003Greene, Robert E.; Krantz, Steven G. 10 1997 On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008Krantz, Steven G.; Yu, Jiye 10 1996 A note on Hardy spaces and functions of bounded mean oscillation on domains in \(\mathbb{C}^ n\). Zbl 0802.32013Krantz, Steven G.; Li, Song-Ying 10 1994 Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014Greene, Robert E.; Krantz, Steven G. 10 1985 Calculation and estimation of the Poisson kernel. Zbl 1060.31004Krantz, Steven G. 9 2005 On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042Fridman, 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 0887.32002Krantz, Steven G.; Li, Song-Ying 9 1997 Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001Fu, Siqi; Isaev, A. V.; Krantz, Steven G. 9 1996 A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019Huang, 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 0789.32011Chen, Zhenhua; Krantz, Steven G.; Ma, Daowei 9 1993 The Kobayashi metric of a complex ellipsoid in \(\mathbb{C}^ 2\). Zbl 0783.32012Blank, Brian E.; Fan, Dashan; Klein, David; Krantz, Steven G.; Ma, Daowei; Pang, Myung-Yull 9 1992 Complex analysis: the geometric viewpoint. Zbl 0743.30002Krantz, Steven G. 9 1990 Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001Krantz, Steven G. 8 2004 Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002Kim, Kang-Tae; Krantz, Steven G. 8 2002 Function theory of one complex variable. 2nd ed. Zbl 0988.30001Greene, Robert E.; Krantz, Steven G. 8 2002 Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023Greene, Robert E.; Krantz, Steven G. 8 1987 Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004Krantz, Steven G. 8 1979 Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation. Zbl 0357.46037Krantz, Steven G. 8 1976 A guide to complex variables. Zbl 1147.30001Krantz, Steven G. 7 2008 On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016Isaev, A. V.; Krantz, S. G. 7 1996 On the vector sum of two convex sets in space. Zbl 0728.52003Krantz, Steven G.; Parks, Harold R. 7 1991 Antisocial subcovers of self-centered coverings. Zbl 0631.52013Krantz, Steven G.; Parsons, T. D. 7 1986 Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 6 2016 Complex scaling and geometric analysis of several variables. Zbl 1156.32001Kim, Kang-Tae; Krantz, Steven G. 6 2008 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 6 2006 A matter of gravity. Zbl 1045.51007Krantz, Steven G. 6 2003 Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019Kim, Kang-Tae; Krantz, Steven G. 6 2003 Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints. Zbl 0746.35025Krantz, Steven G.; Paulsen, William H. 6 1991 Fatou theorems on domains in \({\mathbb{C}}^ n\). Zbl 0614.32007Krantz, Steven G. 6 1987 A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Zbl 0518.32009Cima, Joseph A.; Krantz, Steven G.; Suffridge, Ted J. 6 1984 Boundary values and estimates for holomorphic functions of several complex variables. Zbl 0431.32004Krantz, Steven G. 6 1980 Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029Jewell, Nicholas P.; Krantz, Steven G. 6 1979 Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria 5 2018 The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012Krantz, Steven G. 5 2012 A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002Kim, Kang-Tae; Krantz, Steven G. 5 2009 New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310Krantz, Steven G.; Peloso, Marco M. 5 2008 On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001Gifford, J. A.; Isaev, A. V.; Krantz, S. G. 5 2000 Analysis of some function spaces associated to Hankel operators. Zbl 0878.47012Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard 5 1997 A characterization of generalized complex ellipsoids in \(\mathbb{C}^ n\) and related results. Zbl 0782.32027Krantz, Steven G. 5 1992 Convexity in complex analysis. Zbl 0739.32019Krantz, Steven G. 5 1991 On isometric isomorphisms of the Bloch space on the unit ball of \({\mathbb{C}}^ n\). Zbl 0687.32022Krantz, Steven G.; Ma, Daowei 5 1989 Intersection graphs for families of balls in \(R^n\). Zbl 0659.05079Erdős, 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 07191632Chen, Liwei; Krantz, Steven G.; Yuan, Yuan 1 2020 Canonical kernels versus constructible kernels. Zbl 1429.30016Krantz, Steven G. 1 2019 Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria 5 2018 Uniqueness properties of Hardy space functions. Zbl 1393.32003Krantz, Steven G. 1 2018 On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003Krantz, Steven G. 1 2018 Harmonic and complex analysis in several variables. Zbl 1414.32001Krantz, Steven G. 2 2017 The weighted Bergman kernel and the Green’s function. Zbl 1361.30096Krantz, 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 1390.00064Krantz, Steven G. 1 2017 Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 6 2016 The Greene-Krantz conjecture in dimension two. Zbl 1405.32026Krantz, Steven G. 1 2016 Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014Daghighi, Abtin; Krantz, Steven 1 2016 Local maximum modulus property for polyanalytic functions. Zbl 1332.30070Daghighi, Abtin; Krantz, Steven G. 1 2016 Smoothness to the boundary of biholomoprhic mappings: an overview. Zbl 1345.32016Krantz, Steven G. 2 2015 Reflections on Paul Erdős on his birth centenary. Zbl 1338.01020Alladi, 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 1310.26001Krantz, Steven G. 2 2015 A note on a conjecture concerning boundary uniqueness. Zbl 1319.30027Daghighi, Abtin; Krantz, Steven G. 1 2015 A direct connection between the Bergman and Szegő projections. Zbl 1297.32005Krantz, Steven G. 4 2014 The Corona problem in several complex variables. Zbl 1317.32004Krantz, 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 1297.30004Douglas, 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 1290.32019Krantz, Steven G. 1 2014 Real analysis and foundations. 3rd ed. Zbl 1278.26001Krantz, Steven G. 1 2014 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003Krantz, Steven G.; Parks, Harold R. 20 2013 Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004Krantz, Steven G. 10 2013 The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems. Zbl 1277.32014Royden, Halsey; Wong, Pit-Mann; Krantz, Steven G. 4 2013 The automorphism groups of domains in complex space: a survey. Zbl 1274.32001Krantz, Steven G. 3 2013 Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case. Zbl 1271.32021Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.; Seo, Aeryeong 3 2013 On limits of sequences of holomorphic functions. Zbl 1294.30011Krantz, Steven G. 1 2013 The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012Krantz, Steven G. 5 2012 The automorphism group of a domain with an exponentially flat boundary point. Zbl 1227.32031Krantz, Steven G. 2 2012 Geometric properties of boundary orbit accumulation points. Zbl 1247.32020Krantz, Steven G. 1 2012 The Schwarz lemma at the boundary. Zbl 1227.30023Krantz, Steven G. 24 2011 The geometry of complex domains. Zbl 1239.32011Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G. 19 2011 Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018Krantz, Steven G. 3 2011 The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005Krantz, Steven G. 2 2011 Convexity in real analysis. Zbl 1246.26010Krantz, Steven G. 1 2011 Boundary decomposition of the Bergman kernel. Zbl 1226.30006Krantz, Steven G. 1 2011 On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002Krantz, Steven G. 2 2010 The corona problem with two pieces of data. Zbl 1204.32004Krantz, Steven G. 1 2010 Normed domains of holomorphy. Zbl 1196.32009Krantz, Steven G. 1 2010 Essentials of topology with applications. Zbl 1178.54001Krantz, Steven G. 1 2010 On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056Krantz, Steven G.; Stević, Stevo 55 2009 Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001Krantz, Steven G. 11 2009 A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002Kim, Kang-Tae; Krantz, Steven G. 5 2009 An ontology of directional regularity implying joint regularity. Zbl 1186.26008Krantz, Steven G. 1 2009 A guide to topology. Zbl 1170.54001Krantz, Steven G. 1 2009 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 49 2008 The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016Krantz, Steven G.; Peloso, Marco M. 21 2008 Analysis and geometry on worm domains. Zbl 1147.32020Krantz, Steven G.; Peloso, Marco M. 13 2008 A guide to complex variables. Zbl 1147.30001Krantz, Steven G. 7 2008 Complex scaling and geometric analysis of several variables. Zbl 1156.32001Kim, Kang-Tae; Krantz, Steven G. 6 2008 New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310Krantz, Steven G.; Peloso, Marco M. 5 2008 Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007Krantz, Steven G. 2 2008 A tale of three kernels. Zbl 1157.32005Krantz, Steven G. 2 2008 The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060Krantz, Steven G. 2 2008 The Hartogs extension phenomenon redux. Zbl 1140.32007Krantz, Steven G. 1 2008 The Lagrange inversion theorem in the smooth case. Zbl 1194.26040Krantz, Steven G.; Parks, Harold R. 1 2008 The Carathéodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space. Zbl 1143.46024Cima, 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 1119.46029Krantz, Steven G. 3 2007 The Lindelöf principle in several complex variables. Zbl 1109.32006Krantz, Steven G. 3 2007 A tribute to Professor william f. ames on his 80th birthday. Zbl 1151.01322Agarwal, Ravi P.; Krantz, Steven G. 2 2007 How to write your first paper. Zbl 1145.00301Krantz, Steven G. 1 2007 The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002Krantz, Steven G. 1 2007 Geometric function theory. Explorations in complex analysis. Zbl 1086.30001Krantz, Steven G. 28 2006 Function theory of one complex variable. 3rd ed. Zbl 1114.30001Greene, Robert E.; Krantz, Steven G. 25 2006 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 6 2006 On determining sets for holomorphic automorphisms. Zbl 1144.32012Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D. 4 2006 Calculation and estimation of the Poisson kernel. Zbl 1060.31004Krantz, Steven G. 9 2005 Analytic polyhedra in \(\mathbb C^2\) with a non-compact automorphism group. Zbl 1062.32020Kim, Kang-Tae; Krantz, Steven G.; Spiro, Andrea F. 3 2005 The automorphism groups of domains. Zbl 1138.32302Kim, Kang-Tae; Krantz, Steven G. 2 2005 Real analysis and foundations. 2nd ed. Zbl 1056.26001Krantz, Steven G. 2 2005 Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002Krantz, Steven G. 1 2005 Mathematical publishing. A guidebook. Zbl 1084.00004Krantz, Steven G. 1 2005 Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001Krantz, Steven G. 8 2004 Creating more convergent series. Zbl 1044.40001Krantz, Steven G.; McNeal, Jeffery D. 1 2004 A matter of gravity. Zbl 1045.51007Krantz, Steven G. 6 2003 Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019Kim, Kang-Tae; Krantz, Steven G. 6 2003 Normal families of holomorphic functions and mappings on a Banach space. Zbl 1069.46026Kim, Kang-Tae; Krantz, Steven G. 3 2003 Determining sets and fixed points for holomorphic endomorphisms. Zbl 1053.32010Kim, Kang-Tae; Krantz, Steven G. 3 2003 The Bergman metric invariants and their boundary behavior. Zbl 1048.32002Kim, Kang-Tae; Krantz, Steven G. 3 2003 A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 128 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 100 2002 A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G. 13 2002 On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D. 9 2002 Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002Kim, Kang-Tae; Krantz, Steven G. 8 2002 Function theory of one complex variable. 2nd ed. Zbl 0988.30001Greene, Robert E.; Krantz, Steven G. 8 2002 A smoothly bounded domain in a complex surface with a compact quotient. Zbl 1028.32010Cheung, Wing Sum; Fu, Siqi; Krantz, Steven G.; Wong, Bun 2 2002 Determination of a domain in complex space by its automorphism group. Zbl 1030.32018Krantz, Steven G. 2 2002 Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001Krantz, Steven G. 133 2001 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042Krantz, Steven G.; Li, Song-Ying 35 2001 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043Krantz, Steven G.; Li, Song-Ying 26 2001 On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018Isaev, Alexander V.; Krantz, Steven G. 20 2001 Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014Kim, Kang-Tae; Krantz, Steven G. 18 2001 Dictionary of algebra, arithmetic, and trigonometry. Zbl 0967.00001Krantz, Steven G. (ed.) 1 2001 On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001Gifford, 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 0965.32007Krantz, Steven G. 2 2000 Invariant distances and metrics in complex analysis. Zbl 1040.32012Isaev, Alexander V.; Krantz, Steven G. 1 2000 Characterization of Reinhardt domains by their automorphism groups. Zbl 0965.32005Isaev, Alexander V.; Krantz, Steven G. 1 2000 Domains with non-compact automorphism group: a survey. Zbl 1040.32019Isaev, A. V.; Krantz, S. G. 43 1999 The geometry of domains in space. Zbl 0929.26001Krantz, Steven G.; Parks, Harold R. 37 1999 Handbook of complex variables. Zbl 0946.30001Krantz, Steven G. 34 1999 ...and 96 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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