Edit Profile (opens in new tab) Krantz, Steven George Compute Distance To: Compute Author ID: krantz.steven-george Published as: Krantz, Steven G.; Krantz, S. G.; Krantz, Steven; Krantz, Steven George more...less Homepage: https://www.math.wustl.edu/~sk/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 302 Publications since 1976, including 73 Books 17 Contributions as Editor · 2 Further Contributions Reviewing Activity: 195 Reviews Co-Authors: 103 Co-Authors with 153 Joint Publications 3,592 Co-Co-Authors all top 5 Co-Authors 167 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 5 Rao, Arni S. R. Srinivasa 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 Di Biase, Fausto 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 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 Henry 1 Coleman, Matthew P. 1 Dafni, Galia 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 75 more Co-Authors all top 5 Serials 18 Complex Variables and Elliptic Equations 16 Journal of Mathematical Analysis and Applications 16 Textbooks in Mathematics 12 Rocky Mountain Journal of Mathematics 12 Notices of the American Mathematical Society 10 American Mathematical Monthly 9 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 all top 5 Fields 173 Several complex variables and analytic spaces (32-XX) 53 Functions of a complex variable (30-XX) 40 General and overarching topics; collections (00-XX) 31 Partial differential equations (35-XX) 28 History and biography (01-XX) 27 Real functions (26-XX) 24 Functional analysis (46-XX) 19 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 General topology (54-XX) 8 Mathematics education (97-XX) 7 Mathematical logic and foundations (03-XX) 6 Ordinary differential equations (34-XX) 6 Differential geometry (53-XX) 5 Measure and integration (28-XX) 5 Abstract harmonic analysis (43-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) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Field theory and polynomials (12-XX) 1 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 Statistics (62-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 206 Publications have been cited 2,875 times in 2,175 Documents Cited by ▼ Year ▼ Function theory of several complex variables. Zbl 0471.32008Krantz, Steven G. 209 1982 A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 165 2002 Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001Krantz, Steven G. 159 2001 Function theory of several complex variables. 2. ed. Zbl 0776.32001Krantz, Steven G. 146 1992 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 112 2002 Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008Burns, Daniel M.; Krantz, Steven G. 100 1994 A primer of real analytic functions. Zbl 0767.26001Krantz, Steven; Parks, Harold R. 85 1992 \(H^ p\) 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. 69 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. 63 1982 On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056Krantz, Steven G.; Stević, Stevo 59 2009 Distance to \(C^k\) hypersurfaces. Zbl 0431.57009Krantz, Steven G.; Parks, Harold R. 58 1981 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 57 2008 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042Krantz, Steven G.; Li, Song-Ying 51 2001 Domains with non-compact automorphism group: a survey. Zbl 1040.32019Isaev, A. V.; Krantz, S. G. 45 1999 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043Krantz, Steven G.; Li, Song-Ying 45 2001 Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018Krantz, Steven G. 40 1983 The geometry of domains in space. Zbl 0929.26001Krantz, Steven G.; Parks, Harold R. 38 1999 Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains. Zbl 0303.35059Krantz, S. G. 36 1976 Geometric function theory. Explorations in complex analysis. Zbl 1086.30001Krantz, Steven G. 33 2006 The Schwarz lemma at the boundary. Zbl 1227.30023Krantz, Steven G. 33 2011 Handbook of complex variables. Zbl 0946.30001Krantz, Steven G. 32 1999 Function theory of one complex variable. 3rd ed. Zbl 1114.30001Greene, Robert E.; Krantz, Steven G. 30 2006 A criterion for normality in \(\mathbb{C}^ n\). Zbl 0749.32001Aladro, Gerardo; Krantz, Steven G. 30 1991 The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003Krantz, Steven G.; Parks, Harold R. 30 2013 The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016Krantz, Steven G.; Peloso, Marco M. 27 2008 The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003Cima, Joseph A.; Krantz, Steven G. 27 1983 The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016Greene, Robert E.; Krantz, Steven G. 25 1982 On a problem of Moser. Zbl 0846.32010Huang, Xiaojun; Krantz, Steven G. 23 1995 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 22 1995 On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018Isaev, Alexander V.; Krantz, Steven G. 21 2001 Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004Krantz, Steven G. 21 2013 Fractional integration on Hardy spaces. Zbl 0504.47034Krantz, Steven G. 20 1982 The geometry of complex domains. Zbl 1239.32011Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G. 20 2011 Compactness of the \(\bar \partial\)-Neumann operator. Zbl 0736.35071Krantz, Steven G. 19 1988 Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006Krantz, Steven G.; Ma, Daowei 19 1988 Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014Kim, Kang-Tae; Krantz, Steven G. 18 2001 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. 18 1989 On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. Zbl 0886.32003Krantz, Steven G.; Li, Song-Ying 17 1995 A panorama of harmonic analysis. Zbl 0947.42001Krantz, Steven G. 16 1999 Hardy spaces and elliptic boundary value problems. Zbl 0765.42014Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M. 16 1992 Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017Greene, Robert E.; Krantz, Steven G. 16 1993 Smoothness to the boundary of conformal maps. Zbl 0626.30005Bell, Steven R.; Krantz, Steven G. 16 1987 Analysis and geometry on worm domains. Zbl 1147.32020Krantz, Steven G.; Peloso, Marco M. 15 2008 A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G. 15 2002 Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020Greene, Robert E.; Krantz, Steven G. 15 1985 Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\). Zbl 0728.32002Krantz, Steven G. 15 1991 Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001Krantz, Steven G. 14 2009 A unique continuation problem for holomorphic mappings. Zbl 0781.32018Huang, Xiaojun; Krantz, Steven G. 14 1993 Invariants of Bergman geometry and the automorphism groups of domains in \({\mathbb{C}^n}\). Zbl 0997.32012Greene, R. E.; Krantz, S. G. 14 1991 Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004Krantz, Steven G. 14 1979 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 Biholomorphic self-maps of domains. Zbl 0625.32024Greene, Robert E.; Krantz, Steven G. 13 1987 Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004Krantz, Steven G. 12 1980 Area integral characterizations of functions in Hardy spaces on domains in \(\mathbb{C}^ n\). Zbl 0887.32002Krantz, Steven G.; Li, Song-Ying 12 1997 Partial differential equations and complex analysis. Zbl 0852.35001Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M. 11 1992 Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014Greene, R. E.; Krantz, Steven G. 11 1981 Calculation and estimation of the Poisson kernel. Zbl 1060.31004Krantz, Steven G. 11 2005 Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014Greene, Robert E.; Krantz, Steven G. 11 1985 The boundary behavior of the Kobayashi metric. Zbl 0760.32010Krantz, Steven G. 11 1992 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 11 1994 A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019Huang, Xiaojun; Krantz, S. G.; Ma, D.; Pan, Y. 11 1995 On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008Krantz, Steven G.; Yu, Jiye 10 1996 Lipschitz spaces on stratified groups. Zbl 0529.22006Krantz, Steven 10 1982 Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011Greene, Robert E.; Krantz, Steven G. 10 1984 Complex analysis: the geometric viewpoint. Zbl 0743.30002Krantz, Steven G. 10 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 0783.32001Krantz, Steven G. 10 1993 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 10 1993 On the vector sum of two convex sets in space. Zbl 0728.52003Krantz, Steven G.; Parks, Harold R. 10 1991 Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001Fu, Siqi; Isaev, A. V.; Krantz, Steven G. 9 1996 Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001Krantz, Steven G. 9 2004 On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D. 9 2002 Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina 9 2016 Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002Kim, Kang-Tae; Krantz, Steven G. 8 2002 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 8 2006 Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation. Zbl 0357.46037Krantz, Steven G. 8 1976 Complex scaling and geometric analysis of several variables. Zbl 1156.32001Kim, Kang-Tae; Krantz, Steven G. 8 2008 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 8 1992 Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019Kim, Kang-Tae; Krantz, Steven G. 8 2003 Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004Krantz, Steven G. 8 1979 Harmonic and complex analysis in several variables. Zbl 1414.32001Krantz, Steven G. 8 2017 The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces. Zbl 0903.47019Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard 7 1997 On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016Isaev, A. V.; Krantz, S. G. 7 1996 A guide to complex variables. Zbl 1147.30001Krantz, Steven G. 7 2008 Characterization of smooth domains in C by their biholomorphic self-maps. Zbl 0524.30007Krantz, Steven G. 7 1983 A characterization of generalized complex ellipsoids in \(\mathbb{C}^ n\) and related results. Zbl 0782.32027Krantz, Steven G. 7 1992 Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023Greene, Robert E.; Krantz, Steven G. 7 1987 Antisocial subcovers of self-centered coverings. Zbl 0631.52013Krantz, Steven G.; Parsons, T. D. 7 1986 Nonlinear conditions for differentiability of functions. Zbl 0632.58008Duncan, John; Krantz, Steven G.; Parks, Harold R. 7 1985 Boundary values and estimates for holomorphic functions of several complex variables. Zbl 0431.32004Krantz, Steven G. 6 1980 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 Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029Jewell, Nicholas P.; Krantz, Steven G. 6 1979 Characterizations of various domains of holomorphy via \(\overline\partial\) estimates and applications to a problem of Kohn. Zbl 0394.32009Krantz, Steven G. 6 1979 On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001Gifford, J. A.; Isaev, A. V.; Krantz, S. G. 6 2000 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 Function theory of one complex variable. 2nd ed. Zbl 0988.30001Greene, Robert E.; Krantz, Steven G. 6 2002 Fatou theorems on domains in \({\mathbb{C}}^ n\). Zbl 0614.32007Krantz, Steven G. 6 1987 A matter of gravity. Zbl 1045.51007Krantz, Steven G. 6 2003 A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002Kim, Kang-Tae; Krantz, Steven G. 6 2009 Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria 6 2018 Intersection graphs for families of balls in \(R^n\). Zbl 0659.05079Erdős, Paul; Godsil, C. D.; Krantz, S. G.; Parsons, T. D. 5 1988 Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type. Zbl 1457.42027Dao, Nguyen Anh; Krantz, Steven G. 1 2021 \(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003Chen, Liwei; Krantz, Steven G.; Yuan, Yuan 5 2020 True epidemic growth construction through harmonic analysis. Zbl 1437.92124Krantz, Steven G.; Polyakov, Peter; Rao, Arni S. R. Srinivasa 4 2020 Applications of Bergman representative coordinates. Zbl 1442.32003Krantz, Steven G. 1 2020 Differential equations. A modern approach with wavelets. Zbl 1454.34001Krantz, Steven G. 1 2020 The Besicovitch covering lemma and maximal functions. Zbl 1418.42030Krantz, Steven G. 3 2019 Canonical kernels versus constructible kernels. Zbl 1429.30016Krantz, Steven G. 1 2019 Complex variables. A physical approach with applications. 2nd edition. Zbl 1410.30001Krantz, Steven G. 1 2019 The Fefferman-Szegő metric and applications. Zbl 1417.32014Krantz, Steven G. 1 2019 Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria 6 2018 On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003Krantz, Steven G. 2 2018 Uniqueness properties of Hardy space functions. Zbl 1393.32003Krantz, Steven G. 1 2018 Semicontinuity of automorphism groups: the converse direction. Zbl 1398.32030Krantz, Steven G. 1 2018 Harmonic and complex analysis in several variables. Zbl 1414.32001Krantz, Steven G. 8 2017 The weighted Bergman kernel and the Green’s function. Zbl 1361.30096Krantz, Steven; Wójcicki, Paweł M. 3 2017 A primer of mathematical writing. Being a disquisition on having your ideas recorded, typeset, published, read, and appreciated. 2nd edition. Zbl 1390.00064Krantz, 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 9 2016 The Greene-Krantz conjecture in dimension two. Zbl 1405.32026Krantz, Steven G. 2 2016 Local maximum modulus property for polyanalytic functions. Zbl 1332.30070Daghighi, Abtin; Krantz, Steven G. 2 2016 Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014Daghighi, Abtin; Krantz, Steven 1 2016 Convex analysis. Zbl 1310.26001Krantz, Steven G. 2 2015 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 1338.01020Lóvasz, László; Sós, Vera T.; Graham, Ronald L.; Spencer, Joel; Kahane, Jean-Pierre; Nathanson, Melvyn B. 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. 5 2014 The Corona problem in several complex variables. Zbl 1317.32004Krantz, Steven G. 1 2014 Real analysis and foundations. 3rd ed. Zbl 1278.26001Krantz, 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 1 2014 The impact of the theorem of Bun Wong and Rosay. Zbl 1290.32019Krantz, 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. 30 2013 Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004Krantz, Steven G. 21 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 4 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. 4 2013 On limits of sequences of holomorphic functions. Zbl 1294.30011Krantz, Steven G. 1 2013 A guide to functional analysis. Zbl 1271.46001Krantz, 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. 33 2011 The geometry of complex domains. Zbl 1239.32011Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G. 20 2011 The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005Krantz, Steven G. 4 2011 Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018Krantz, Steven G. 3 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 Normed domains of holomorphy. Zbl 1196.32009Krantz, Steven G. 2 2010 On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002Krantz, Steven G. 2 2010 Essentials of topology with applications. Zbl 1178.54001Krantz, Steven G. 1 2010 The corona problem with two pieces of data. Zbl 1204.32004Krantz, Steven G. 1 2010 On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056Krantz, Steven G.; Stević, Stevo 59 2009 Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001Krantz, Steven G. 14 2009 A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002Kim, Kang-Tae; Krantz, Steven G. 6 2009 An ontology of directional regularity implying joint regularity. Zbl 1186.26008Krantz, Steven G. 2 2009 A guide to topology. Zbl 1170.54001Krantz, Steven G. 1 2009 Geometric integration theory. Zbl 1149.28001Krantz, Steven G.; Parks, Harold R. 57 2008 The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016Krantz, Steven G.; Peloso, Marco M. 27 2008 Analysis and geometry on worm domains. Zbl 1147.32020Krantz, Steven G.; Peloso, Marco M. 15 2008 Complex scaling and geometric analysis of several variables. Zbl 1156.32001Kim, Kang-Tae; Krantz, Steven G. 8 2008 A guide to complex variables. Zbl 1147.30001Krantz, Steven G. 7 2008 New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310Krantz, Steven G.; Peloso, Marco M. 5 2008 The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060Krantz, Steven G. 4 2008 Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007Krantz, Steven G. 3 2008 A tale of three kernels. Zbl 1157.32005Krantz, Steven G. 2 2008 The Hartogs extension phenomenon redux. Zbl 1140.32007Krantz, Steven G. 1 2008 On functions in \(p\)-adic \(BMO\) and the distribution of prime integers. Zbl 1119.46029Krantz, Steven G. 4 2007 The Lindelöf principle in several complex variables. Zbl 1109.32006Krantz, Steven G. 3 2007 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 The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002Krantz, Steven G. 2 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 Geometric function theory. Explorations in complex analysis. Zbl 1086.30001Krantz, Steven G. 33 2006 Function theory of one complex variable. 3rd ed. Zbl 1114.30001Greene, Robert E.; Krantz, Steven G. 30 2006 Geometric characterizations of centroids of simplices. Zbl 1089.52009Krantz, Steven G.; McCarthy, John E.; Parks, Harold R. 8 2006 On determining sets for holomorphic automorphisms. Zbl 1144.32012Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D. 4 2006 Calculus. Multivariable. Zbl 1098.26002Blank, Brian E.; Krantz, Steven G. 1 2006 Calculation and estimation of the Poisson kernel. Zbl 1060.31004Krantz, Steven G. 11 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 Real analysis and foundations. 2nd ed. Zbl 1056.26001Krantz, Steven G. 2 2005 The automorphism groups of domains. Zbl 1138.32302Kim, Kang-Tae; Krantz, Steven G. 2 2005 Two results on uniqueness of conformal mappings. Zbl 1083.30010Krantz, Steven G. 2 2005 Mathematical publishing. A guidebook. Zbl 1084.00004Krantz, Steven G. 1 2005 Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002Krantz, Steven G. 1 2005 Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001Krantz, Steven G. 9 2004 Creating more convergent series. Zbl 1044.40001Krantz, Steven G.; McNeal, Jeffery D. 1 2004 Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019Kim, Kang-Tae; Krantz, Steven G. 8 2003 A matter of gravity. Zbl 1045.51007Krantz, Steven G. 6 2003 Normal families of holomorphic functions and mappings on a Banach space. Zbl 1069.46026Kim, Kang-Tae; Krantz, Steven G. 4 2003 The Bergman metric invariants and their boundary behavior. Zbl 1048.32002Kim, 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 A primer of real analytic functions. 2nd ed. Zbl 1015.26030Krantz, Steven G.; Parks, Harold R. 165 2002 The implicit function theorem. History, theory, and applications. Zbl 1012.58003Krantz, Steven G.; Parks, Harold R. 112 2002 A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G. 15 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. 6 2002 Determination of a domain in complex space by its automorphism group. Zbl 1030.32018Krantz, Steven G. 2 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 Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001Krantz, Steven G. 159 2001 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042Krantz, Steven G.; Li, Song-Ying 51 2001 Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043Krantz, Steven G.; Li, Song-Ying 45 2001 ...and 106 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,515 Authors 96 Krantz, Steven George 28 Kim, Kang-Tae 22 Örnek, Bülent Nafi 22 Stević, Stevo 15 Liu, Taishun 15 Yang, Dachun 14 Tu, Zhenhan 12 Chang, Der-Chen E. 12 Isaev, Alexander 12 Li, Songying 12 Shoikhet, David 11 de la Llave, Rafael 11 Huang, Xiaojun 11 Peloso, Marco Maria 10 Byun, Jisoo 10 Dovbush, Peter V. 10 Duong, Xuan Thinh 10 Gaussier, Hervé 10 Ha, Ly Kim 10 Ninh Văn Thu 10 Tang, Xiaomin 10 Yang, Sibei 10 Zimmer, Andrew M. 9 Chakrabarti, Debraj 9 Fridman, Buma L. 9 Lebl, Jiří 9 Lee, Kang-Hyurk 9 Ma, Daowei 9 Verma, Kaushal 9 Yang, Dongyong 8 Chen, Shaolin 8 Greene, Robert Everist 8 Harrington, Phillip S. 8 McNeal, Jeffery D. 8 Noell, Alan V. 8 Peralta-Salas, Daniel 8 Wu, Huoxiong 8 Yan, Lixin 8 Zeytuncu, Yunus Ergýn 7 Agler, Jim 7 Brackx, Fred F. 7 Choe, Boo Rim 7 De Schepper, Hennie 7 Fornæss, John Erik 7 Fu, Siqi 7 Guo, Kunyu 7 Lanzani, Loredana 7 Liu, Bingyuan 7 Seshadri, Harish 7 Stein, Elias Menachem 7 Straube, Emil J. 7 Yamamori, Atsushi 6 Berhanu, Shiferaw 6 Bernal-Gonzàlez, Luis 6 Boas, Harold P. 6 Bracci, Filippo 6 Chen, Dazhao 6 Čučković, Željko 6 Li, Songxiao 6 Liu, Yongmin 6 Mitrea, Marius 6 Monguzzi, Alessandro 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 Duane 6 Yu, Yanyan 6 Zhang, Liyou 6 Zhu, Jianfeng 5 Akyel, Tuğba 5 Alpay, Daniel Aron 5 Cao, Jun 5 Chen, Bo-Yong 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 Kim, Sung-Yeon 5 Klep, Igor 5 Lamel, Bernhard 5 Lee, Young Joo 5 Li, Ji 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 Zhang, Shuo 5 Zheng, Dechao ...and 2,415 more Authors all top 5 Cited in 450 Serials 161 Journal of Mathematical Analysis and Applications 129 The Journal of Geometric Analysis 75 Proceedings of the American Mathematical Society 60 Transactions of the American Mathematical Society 55 Journal of Functional Analysis 49 Complex Variables and Elliptic Equations 48 Advances in Mathematics 48 Mathematische Annalen 38 Mathematische Zeitschrift 35 Complex Analysis and Operator Theory 29 Applied Mathematics and Computation 28 Journal of Differential Equations 21 Duke Mathematical Journal 21 Integral Equations and Operator Theory 19 Journal d’Analyse Mathématique 19 Annales de l’Institut Fourier 18 Rocky Mountain Journal of Mathematics 18 Nonlinear Analysis. 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Series B 6 Physica D 6 Constructive Approximation 6 Journal of the American Mathematical Society 6 Forum Mathematicum 6 Expositiones Mathematicae 6 Mediterranean Journal of Mathematics 5 Journal of Mathematical Physics 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 Proceedings of the Edinburgh Mathematical Society. Series II 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Communications of the Korean Mathematical Society 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 American Mathematical Monthly 4 Applicable Analysis 4 Studia Mathematica 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 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Topology and its Applications ...and 350 more Serials all top 5 Cited in 60 Fields 924 Several complex variables and analytic spaces (32-XX) 335 Functions of a complex variable (30-XX) 327 Operator theory (47-XX) 304 Partial differential equations (35-XX) 251 Functional analysis (46-XX) 208 Harmonic analysis on Euclidean spaces (42-XX) 135 Differential geometry (53-XX) 97 Global analysis, analysis on manifolds (58-XX) 83 Dynamical systems and ergodic theory (37-XX) 82 Real functions (26-XX) 79 Potential theory (31-XX) 78 Numerical analysis (65-XX) 75 Probability theory and stochastic processes (60-XX) 67 Ordinary differential equations (34-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 51 Systems theory; control (93-XX) 46 Approximations and expansions (41-XX) 43 Convex and discrete geometry (52-XX) 40 Fluid mechanics (76-XX) 39 Algebraic geometry (14-XX) 37 Operations research, mathematical programming (90-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 35 Mechanics of deformable solids (74-XX) 34 Measure and integration (28-XX) 32 Quantum theory (81-XX) 31 Combinatorics (05-XX) 31 Statistics (62-XX) 28 Topological groups, Lie groups (22-XX) 28 Statistical mechanics, structure of matter (82-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Number theory (11-XX) 27 Computer science (68-XX) 25 Biology and other natural sciences (92-XX) 23 Abstract harmonic analysis (43-XX) 22 Mathematical logic and foundations (03-XX) 21 Manifolds and cell complexes (57-XX) 20 Special functions (33-XX) 20 Integral equations (45-XX) 18 Difference and functional equations (39-XX) 18 General topology (54-XX) 17 Geometry (51-XX) 17 Mechanics of particles and systems (70-XX) 14 Group theory and generalizations (20-XX) 11 Information and communication theory, circuits (94-XX) 10 History and biography (01-XX) 10 Relativity and gravitational theory (83-XX) 9 Integral transforms, operational calculus (44-XX) 5 Field theory and polynomials (12-XX) 5 Optics, electromagnetic theory (78-XX) 4 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-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 \(K\)-theory (19-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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