Edit Profile (opens in new tab) Fornæss, John Erik Compute Distance To: Compute Author ID: fornass.john-erik Published as: Fornæss, John Erik; Fornaess, John Erik; Fornæss, J. E.; Fornaess, John E.; Fornaess, J. E.; Fornaess, John Eric; Fornaess, John-Erik more...less Homepage: https://www.ntnu.edu/employees/johnefo External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 185 Publications since 1972, including 3 Books 9 Contributions as Editor Reviewing Activity: 4 Reviews Co-Authors: 57 Co-Authors with 165 Joint Publications 1,037 Co-Co-Authors all top 5 Co-Authors 29 single-authored 38 Diederich, Klas 28 Sibony, Nessim 16 Wold, Erlend Fornæss 8 Stensønes, Berit 7 Bedford, Eric 6 Peters, Han 5 Shcherbina, Nikolay 4 Benini, Anna Miriam 4 Gavosto, Estela Ana 4 Lee, Lina 4 Rong, Feng 4 Wu, Jujie 3 Arosio, Leandro 3 Berndtsson, Bo 3 Bracci, Filippo 3 Buzzard, Gregery T. 3 Grellier, Sandrine 3 Øvrelid, Nils 3 Stout, Edgar Lee 3 Vassiliadou, Sophia K. 3 Wang, Yinxia 3 Weickert, Brendan J. 3 Wiegerinck, Jan J. O. O. 2 Barrett, David E. 2 Biard, Séverine 2 Bonifant, Araceli M. 2 Deng, FuSheng 2 Derridj, Makhlouf 2 Forstnerič, Franc 2 Gallagher, Anne-Katrin 2 Zhang, Yuan 1 Andersson, Mats 1 Berteloot, François 1 Błocki, Zbigniew 1 Boc Thaler, Luka 1 Coman, Dan 1 Demailly, Jean-Pierre 1 Fischer, Bert 1 Herbort, Gregor 1 Huang, Xiaojun 1 Irgens, Marius A. S. 1 Kim, Kang-Tae 1 Krantz, Steven George 1 Levenberg, Norman jun. 1 Li, Songying 1 Løw, Erik 1 Ma, Daowei 1 McNeal, Jeffery D. 1 Mihailescu, Eugen Gh. 1 Nagel, Alexander 1 Narasimhan, Raghavan 1 Ninh Văn Thu 1 Pal, Ratna 1 Patrizio, Giorgio 1 Poon, Yat Sun 1 Rea, Claudio 1 Wong, Wing Shing 1 Wu, He 1 Xin, Zhouping 1 Zame, Bill 1 Zame, William R. all top 5 Serials 30 Mathematische Annalen 14 Mathematische Zeitschrift 11 The Journal of Geometric Analysis 10 Duke Mathematical Journal 9 Ergodic Theory and Dynamical Systems 8 Manuscripta Mathematica 6 Mathematica Scandinavica 5 Inventiones Mathematicae 5 Proceedings of the American Mathematical Society 4 Pacific Journal of Mathematics 4 International Journal of Mathematics 4 Discrete and Continuous Dynamical Systems 4 Annals of Mathematics. Second Series 3 American Journal of Mathematics 3 Annales de l’Institut Fourier 3 Publicacions Matemàtiques 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Oberwolfach Reports 2 Indiana University Mathematics Journal 2 Michigan Mathematical Journal 2 Science in China. Series A 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the National Academy of Sciences of the United States of America 2 Complex Variables and Elliptic Equations 2 Mathematical Notes (Princeton) 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Illinois Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 The Asian Journal of Mathematics 1 Far East Journal of Dynamical Systems 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the American Mathematical Society 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Regional Conference Series in Mathematics 1 Abel Symposia 1 Journal of Modern Dynamics 1 Science China. Mathematics all top 5 Fields 169 Several complex variables and analytic spaces (32-XX) 55 Dynamical systems and ergodic theory (37-XX) 15 Functions of a complex variable (30-XX) 11 Potential theory (31-XX) 9 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 8 Differential geometry (53-XX) 5 Algebraic geometry (14-XX) 5 Manifolds and cell complexes (57-XX) 4 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 163 Publications have been cited 2,185 times in 1,320 Documents Cited by ▼ Year ▼ Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions. Zbl 0353.32025Diederich, Klas; Fornaess, John Erik 137 1977 Pseudoconvex domains with real-analytic boundary. Zbl 0378.32014Diederich, Klas; Fornaess, John E. 111 1978 Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains. Zbl 0761.32015Fornæss, John Erik; Sibony, Nessim 74 1992 Embedding strictly pseudoconvex domains in convex domains. Zbl 0334.32020Fornaess, John Erik 64 1976 Oka’s inequality for currents and applications. Zbl 0832.32010Fornæss, John Erik; Sibony, Nessim 62 1995 Pseudoconvex domains: An example with nontrivial nebenhuelle. Zbl 0327.32008Diederich, Klas; Fornaess, John Erik 62 1977 Complex dynamics in higher dimension. II. Zbl 0847.58059Fornaess, John Erik; Sibony, Nessim 61 1995 The Levi problem on complex spaces with singularities. Zbl 0411.32011Fornaess, John Erik; Narasimhan, Raghavan 56 1980 Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\). Zbl 0661.32025Diederich, K.; Fornæss, J. E. 51 1988 Boundary regularity of proper holomorphic mappings. Zbl 0501.32010Diederich, Klas; Fornaess, John Eric 49 1982 A construction of peak functions on weakly pseudoconvex domains. Zbl 0392.32004Bedford, Eric; Fornaess, John Erik 46 1978 Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type. Zbl 1312.32006Diederich, K.; Fornæss, J. E.; Wold, E. F. 43 2014 Complex dynamics in higher dimensions. Zbl 0811.32019Fornæss, John Erik; Sibony, Nessim 42 1994 Hölder estimates on convex domains of finite type. Zbl 0932.32008Diederich, Klas; Fischer, Bert; Fornæss, John Erik 42 1999 Construction of p.s.h. functions on weakly pseudoconvex domains. Zbl 0679.32017Fornaess, John Erik; Sibony, Nessim 36 1989 Complex dynamics in higher dimension. I. Zbl 0813.58030Fornaess, John Erik; Sibony, Nessim 35 1994 Support functions for convex domains of finite type. Zbl 1045.32016Diederich, Klas; Fornæss, John Erik 35 1999 Pseudoconvex domains: Existence of Stein neighborhoods. Zbl 0381.32014Diederich, Klas; Fornaess, John Erik 33 1977 Random iterations of rational functions. Zbl 0753.30019Fornaess, John Erik; Sibony, Nessim 32 1991 Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary. Zbl 0394.32012Diederich, Klas; Fornaess, John E. 30 1979 Proper holomorphic images of strictly pseudoconvex domains. Zbl 0486.32013Diederich, Klas; Fornaess, John E. 27 1982 Harmonic currents of finite energy and laminations. Zbl 1115.32020Fornæss, J. E.; Sibony, N. 26 2005 Smoothing q-convex functions and vanishing theorems. Zbl 0586.32022Diederich, Klas; Fornaess, John Erik 26 1985 Biholomorphic maps of weakly pseudoconvex domains. Zbl 0401.32006Bedford, Eric; Fornaess, John Erik 25 1978 Sharp Hölder estimates for \({\bar\partial}\) on ellipsoids. Zbl 0602.32006Diederich, Klas; Fornaess, John Erik; Wiegerinck, Jan 23 1986 Biholomorphic mappings between weakly pseudoconvex domains. Zbl 0353.32026Fornaess, John Erik 22 1978 Riemann surface laminations with singularities. Zbl 1159.32020Fornæss, John Erik; Sibony, Nessim 21 2008 Local \(L^2\) results for \(\overline\partial\): the isolated singularities case. Zbl 1081.32024Fornæss, John Erik; Øvrelid, Nils; Vassiliadou, Sophia 21 2005 Lectures on counterexamples in several complex variables. Zbl 0626.32001Fornaess, John Erik; Stensønes, Berit 20 1987 Approximation of plurisubharmonic functions. Zbl 0693.32009Fornæss, John Erik; Wiegerinck, Jan 20 1989 Spreading polydiscs on complex manifolds. Zbl 0384.32004Fornaess, John Erik; Stout, Edgar Lee 20 1977 Boundary behavior of the Bergman metric. Zbl 0533.32012Diederich, K.; Fornæss, J. E.; Herbort, G. 19 1984 An increasing sequence of Stein manifolds whose limit is not Stein. Zbl 0334.32017Fornaess, John Erik 19 1976 Counterexamples to regularity for the complex Monge-Ampère equation. Zbl 0393.35010Bedford, Eric; Fornaess, John Erik 19 1979 Semiglobal results for \(\overline\partial\) on a complex space with arbitrary singularities. Zbl 1073.32022Fornæss, John Erik; Øvrelid, Nils; Vassiliadou, Sophia 18 2005 Local extension of CR functions from weakly pseudoconvex boundaries. Zbl 0401.32007Bedford, Eric; Fornaess, John Erik 18 1978 Domains with pseudoconvex neighborhood systems. Zbl 0399.32013Bedford, Eric; Fornaess, John Erik 17 1978 Unique ergodicity of harmonic currents on singular foliations of \({\mathbb{P}^2}\). Zbl 1204.32022Fornæss, John Erik; Sibony, Nessim 16 2010 Peak points on weakly pseudoconvex domains. Zbl 0346.32026Fornaess, John Erik 16 1977 Some open problems in higher dimensional complex analysis and complex dynamics. Zbl 0993.32001Fornæss, John Erik; Sibony, Nessim 15 2001 Polydiscs in complex manifolds. Zbl 0331.32007Fornaess, John Erik; Stout, Edgar Lee 15 1977 An estimate for the squeezing function and estimates of invariant metrics. Zbl 1330.32009Fornæss, J. E.; Wold, E. F. 14 2015 Increasing sequences of complex manifolds. Zbl 0438.32012Fornaess, John Eric; Sibony, Nessim 13 1981 Classification of degree 2 polynomial automorphisms of \(\mathbb{C}^3\). Zbl 0923.58006Fornæss, John Erik; Wu, He 13 1998 Classification of recurrent domains for some holomorphic maps. Zbl 0829.58005Fornæss, John Erik; Sibony, Nessim 13 1995 An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement. Zbl 0864.32013Buzzard, Gregery T.; Fornæss, John Erik 13 1996 On supnorm estimates for \(\bar \partial\) on infinite type convex domains in \(\mathbb C^{2}\). Zbl 1223.32010Fornæss, John Erik; Lee, Lina; Zhang, Yuan 12 2011 Complex manifolds in pseudoconvex boundaries. Zbl 0472.32007Bedford, Eric; Fornaess, J. E. 12 1981 Fatou and Julia sets for entire mappings in \(\mathbb{C}^k\). Zbl 0931.37016Fornæss, John Erik; Sibony, Nessim 12 1998 Hyperbolic maps on \(\mathbb{P}^2\). Zbl 0928.37006Fornæss, John Erik; Sibony, Nessim 12 1998 The Mergelyan property for weakly pseudoconvex domains. Zbl 0391.32010Fornaess, John Erik; Nagel, Alexander 12 1977 A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary. Zbl 1441.32005Fornæss, John Erik; Wold, Erlend Fornæss 12 2018 Lineally convex domains of finite type: holomorphic support functions. Zbl 1066.32016Diederich, Klas; Fornæss, John Erik 11 2003 Stable manifolds of holomorphic hyperbolic maps. Zbl 1071.32016Fornæss, John Erik; Stensønes, Berit 11 2004 On the smoothness of Levi-foliations. Zbl 0663.32014Barrett, D. E.; Fornaess, J. E. 11 1988 Local \(L^2\) results for \(\overline{\partial}\) on a singular surface. Zbl 1033.32005Diederich, Klas; Fornæss, John Erik; Vassiliadou, Sophia 11 2003 A note on plurisubharmonic defining functions in \({\mathbb{C}^{n}}\). Zbl 1193.32018Fornæss, J. E.; Herbig, A.-K. 10 2008 Comparison of the Bergman and the Kobayashi metric. Zbl 0429.32031Diederich, Klas; Fornaess, John Erik 10 1980 A strange bounded smooth domain of holomorphy. Zbl 0317.32020Diederich, Klas; Fornaess, John Erik 10 1976 2 dimensional counterexamples to generalizations of the Levi problem. Zbl 0379.32016Fornaess, John Erik 10 1977 The Cauchy Riemann equation on singular spaces. Zbl 1047.32500Fornæss, John Erik; Gavosto, Estela A. 10 1998 Smoothing q-convex functions in the singular case. Zbl 0586.32023Diederich, Klas; Fornaess, John Erik 10 1986 A smooth pseudoconvex domain without pseudoconvex exhaustion. Zbl 0524.32010Diederich, Klas; Fornaess, John Erik 9 1982 A construction of peak functions on some finite type domains. Zbl 0809.32005Fornæss, John Erik; McNeal, Jeffery D. 9 1994 Local holomorphic extendability and non-extendability of CR-functions on smooth boundaries. Zbl 0587.32035Fornaess, John Erik; Rea, Claudio 9 1985 Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces. Zbl 1407.32003Deng, F.; Fornæss, J. E.; Wold, E. F. 9 2018 Estimate of the squeezing function for a class of bounded domains. Zbl 1404.32059Fornæss, John Erik; Rong, Feng 9 2018 The closing lemma for holomorphic maps. Zbl 0965.37046Fornæss, John Erik; Sibony, Nessim 8 1997 Finitely generated ideals in \(A(\Omega)\). Zbl 0489.32013Fornaess, John E.; Ovrelid, Nils 8 1983 Green’s functions for irregular quadratic polynomial automorphisms of \({\mathbb{C}}^3\). Zbl 0970.37034Coman, Dan; Fornæss, John Erik 8 1999 Dynamics in several complex variables. Expository lectures from the NSF-CBMS regional conference held at SUNY at Albany, Albany, NY, June 12-17, 1994. Zbl 0840.58016Fornæss, John Erik 8 1996 Sup-norm estimates for \({\bar\partial}\) in \({\mathbb{C}}^ 2\). Zbl 0589.32038Fornaess, John Erik 8 1986 A characterization of the ball in \(\mathbb C^n\). Zbl 1375.32016Diederich, K.; Fornæss, J. E.; Wold, E. F. 8 2016 Applications holomorphes propres entre domaines à bord analytique réel. (Proper holomorphic mappings between real-analytic domains). Zbl 0656.32013Diederich, Klas; Fornaess, John E. 7 1988 A note on plurisubharmonic defining functions in \(\mathbb{C}^2\). Zbl 1128.32019Fornæss, J. E.; Herbig, A.-K. 7 2007 Lectures on counterexamples in several complex variables. Reprint of the 1987 original. Zbl 1126.32001Fornæss, John Erik; Stensønes, Berit 7 2007 Examples of minimal laminations and associated currents. Zbl 1233.32022Fornæss, John Erik; Sibony, Nessim; Wold, Erlend Fornæss 7 2011 On \(L^ p\) estimates for \(\bar\partial\). Zbl 0827.32019Fornaess, John Erik; Sibony, Nessim 7 1991 Critically finite rational maps on \({\mathbb{P}{}}^ 2\). Zbl 0772.58024Fornæss, John Erik; Sibony, Nessim 7 1992 A counterexample for the Levi problem for branched Riemann domains over \(\mathbb{C}^n\). Zbl 0427.32014Fornaess, John Erik 7 1978 Regular holomorphic images of balls. Zbl 0452.32008Fornaess, John Erik; Stout, Edgar Lee 7 1982 Characterization of global peak sets for \(A^\infty\)(D). Zbl 0489.32010Fornaess, John Erik; Henriksen, Berit Stensones 7 1982 Biholomorphic mappings between certain real analytic domains in \(\mathbb{C}^2\). Zbl 0418.32018Diederich, Klas; Fornaess, John Erik 7 1979 Growth of degree for iterates of rational maps in several variables. Zbl 0987.37033Bonifant, Araceli M.; Fornæss, John Erik 7 2000 Boundary behavior of the Bergman metric. Zbl 1434.32045Diederich, K.; Fornæss, J. E. 7 2018 A remark on a paper by S. R. Bell. Zbl 0462.32006Diederich, K.; Fornaess, J. E. 6 1981 Smooth, but not complex-analytic pluripolar sets. Zbl 0483.32012Diederich, K.; Fornaess, J. E. 6 1982 Riemann domains and envelopes of holomorphy. Zbl 0515.32004Fornaess, John-Erik; Zame, William R. 6 1983 Biholomorphisms in dimension 2. Zbl 0864.32014Diederich, K.; Fornæss, J. E.; Ye, Z. 6 1994 Complete holomorphic vector fields and time-1 maps. Zbl 0847.32038Buzzard, Gregery T.; Fornæss, John Erik 6 1995 Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains. Zbl 0309.32012Diederich, Klas; Fornaess, John Erik 6 1975 Fatou components with punctured limit sets. Zbl 1335.37027Boc-Thaler, Luka; Fornæss, John Erik; Peters, Han 6 2015 Holomorphic approximation: the legacy of Weierstrass, Runge, Oka-Weil, and Mergelyan. Zbl 1483.32020Fornæss, John Erik; Forstnerič, Franc; Wold, Erlend F. 6 2020 Dynamics of transcendental Hénon maps. Zbl 1436.32068Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han 6 2019 A domain with non-plurisubharmonic squeezing function. Zbl 1396.32013Fornæss, John Erik; Shcherbina, Nikolay 6 2018 Proper holomorphic mappings. Zbl 0618.32022Fornaess, John E.; Løw, Erik 5 1986 Plurisubharmonic defining functions. Zbl 0412.32020Fornaess, John Erik 5 1979 Kobayashi, Carathéodory and Sibony metric. Zbl 1166.32010Fornæss, John Erik; Lee, Lina 5 2009 Existence of generic homoclinic tangencies for Hénon mappings. Zbl 0780.58031Fornæss, John Erik; Gavosto, Estela A. 5 1992 Short \(\mathbb{C}^k\). Zbl 1071.32007Fornæss, John Erik 5 2004 Entropy of transcendental entire functions. Zbl 1459.37032Benini, Anna Miriam; Fornæss, John Erik; Peters, Han 2 2021 Holomorphic approximation: the legacy of Weierstrass, Runge, Oka-Weil, and Mergelyan. Zbl 1483.32020Fornæss, John Erik; Forstnerič, Franc; Wold, Erlend F. 6 2020 Weighted approximation in \(\mathbb{C} \). Zbl 1441.30039Fornæss, John Erik; Wu, Jujie 3 2020 Weighted-\(L^2\) polynomial approximation in \(\mathbb{C} \). Zbl 1439.30007Biard, Séverine; Fornæss, John Erik; Wu, Jujie 2 2020 Squeezing functions and Cantor sets. Zbl 1471.32017Arosio, Leandro; Fornæss, John Erik; Shcherbina, Nikolay; Wold, Erlend F. 2 2020 Infinite entropy for transcendental entire functions with an omitted value. Zbl 1436.30023Benini, Anna Miriam; Fornæss, John Erik; Peters, Han 1 2020 A note on pseudoconvex hypersurfaces of infinite type in \(\mathbb{C}^n\). Zbl 1447.32047Fornæss, John Erik; van Thu, Ninh 1 2020 Dynamics of transcendental Hénon maps. Zbl 1436.32068Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han 6 2019 Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains. Zbl 1426.32007Bracci, Filippo; Fornæss, John Erik; Wold, Erlend Fornæss 5 2019 A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary. Zbl 1441.32005Fornæss, John Erik; Wold, Erlend Fornæss 12 2018 Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces. Zbl 1407.32003Deng, F.; Fornæss, J. E.; Wold, E. F. 9 2018 Estimate of the squeezing function for a class of bounded domains. Zbl 1404.32059Fornæss, John Erik; Rong, Feng 9 2018 Boundary behavior of the Bergman metric. Zbl 1434.32045Diederich, K.; Fornæss, J. E. 7 2018 A domain with non-plurisubharmonic squeezing function. Zbl 1396.32013Fornæss, John Erik; Shcherbina, Nikolay 6 2018 A global approximation result by Bert Alan Taylor and the strong openness conjecture in \({\mathbb {C}}^n\). Zbl 1404.32001Fornæss, John Erik; Wu, Jujie 3 2018 On a conjecture by Blocki and Zwonek. Zbl 1380.32034Fornæss, John Erik 2 2017 Complex dynamics with focus on the real part. Zbl 1369.37056Fornæss, John Erik; Peters, Han 1 2017 A characterization of the ball in \(\mathbb C^n\). Zbl 1375.32016Diederich, K.; Fornæss, J. E.; Wold, E. F. 8 2016 Non-autonomous basins with uniform bounds are elliptic. Zbl 1355.32012Fornæss, John Erik; Wold, Erlend Fornæss 1 2016 An estimate for the squeezing function and estimates of invariant metrics. Zbl 1330.32009Fornæss, J. E.; Wold, E. F. 14 2015 Fatou components with punctured limit sets. Zbl 1335.37027Boc-Thaler, Luka; Fornæss, John Erik; Peters, Han 6 2015 Some problems. Zbl 1326.32049Fornaess, John-Erik; Kim, Kang-Tae 4 2015 Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Zbl 1336.32001 2 2015 Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type. Zbl 1312.32006Diederich, K.; Fornæss, J. E.; Wold, E. F. 43 2014 The range of holomorphic maps at boundary points. Zbl 1301.32012Bracci, Filippo; Fornæss, John Erik 4 2014 Formal complex curves in real smooth hypersurfaces. Zbl 1318.32037Fornæss, John Erik; Lee, Lina; Zhang, Yuan 3 2014 Classification of recurrent domains for holomorphic maps on complex projective spaces. Zbl 1303.32011Fornæss, John Erik; Rong, Feng 1 2014 \(Q\)-complete domains with corners in \({\mathbb{P}^n}\) and extension of line bundles. Zbl 1267.32006Fornæss, John Erik; Sibony, Nessim; Wold, Erlend F. 4 2013 Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\). Zbl 1351.37184Fornaess, John Erik; Mihailescu, Eugen 4 2013 Infinite type germs of real analytic pseudoconvex domains in \(\mathbb C^{3}\). Zbl 1250.32029Fornæss, John Erik; Stensønes, Berit 2 2012 On supnorm estimates for \(\bar \partial\) on infinite type convex domains in \(\mathbb C^{2}\). Zbl 1223.32010Fornæss, John Erik; Lee, Lina; Zhang, Yuan 12 2011 Examples of minimal laminations and associated currents. Zbl 1233.32022Fornæss, John Erik; Sibony, Nessim; Wold, Erlend Fornæss 7 2011 Unique ergodicity of harmonic currents on singular foliations of \({\mathbb{P}^2}\). Zbl 1204.32022Fornæss, John Erik; Sibony, Nessim 16 2010 Maximally tangent complex curves for germs of finite type \({\mathcal{C}^\infty}\) pseudoconvex domains in \({\mathbb C^3}\). Zbl 1192.32018Fornæss, John Erik; Stensønes, Berit 4 2010 Kobayashi, Carathéodory and Sibony metric. Zbl 1166.32010Fornæss, John Erik; Lee, Lina 5 2009 Asymptotic behavior of the Kobayashi metric in the normal direction. Zbl 1162.32006Fornæss, John Erik; Lee, Lina 3 2009 Laminated harmonic currents. Zbl 1231.31005Fornæss, John Erik; Wang, Yinxia; Wold, Erlend Fornæss 1 2009 Riemann surface laminations with singularities. Zbl 1159.32020Fornæss, John Erik; Sibony, Nessim 21 2008 A note on plurisubharmonic defining functions in \({\mathbb{C}^{n}}\). Zbl 1193.32018Fornæss, J. E.; Herbig, A.-K. 10 2008 Laminated currents. Zbl 1176.37019Fornæss, John Erik; Wang, Yinxia; Wold, Erlend Fornæss 1 2008 A note on plurisubharmonic defining functions in \(\mathbb{C}^2\). Zbl 1128.32019Fornæss, J. E.; Herbig, A.-K. 7 2007 Lectures on counterexamples in several complex variables. Reprint of the 1987 original. Zbl 1126.32001Fornæss, John Erik; Stensønes, Berit 7 2007 The Julia set of Hénon maps. Zbl 1088.37019Fornæss, John Erik 5 2006 Density of orbits in complex dynamics. Zbl 1178.37042Fornæss, J. E.; Stensønes, B. 1 2006 Harmonic currents of finite energy and laminations. Zbl 1115.32020Fornæss, J. E.; Sibony, N. 26 2005 Local \(L^2\) results for \(\overline\partial\): the isolated singularities case. Zbl 1081.32024Fornæss, John Erik; Øvrelid, Nils; Vassiliadou, Sophia 21 2005 Semiglobal results for \(\overline\partial\) on a complex space with arbitrary singularities. Zbl 1073.32022Fornæss, John Erik; Øvrelid, Nils; Vassiliadou, Sophia 18 2005 Stable manifolds of holomorphic hyperbolic maps. Zbl 1071.32016Fornæss, John Erik; Stensønes, Berit 11 2004 Short \(\mathbb{C}^k\). Zbl 1071.32007Fornæss, John Erik 5 2004 Real methods in complex dynamics. Zbl 1068.37028Fornæss, John Erik 1 2004 Lineally convex domains of finite type: holomorphic support functions. Zbl 1066.32016Diederich, Klas; Fornæss, John Erik 11 2003 Local \(L^2\) results for \(\overline{\partial}\) on a singular surface. Zbl 1033.32005Diederich, Klas; Fornæss, John Erik; Vassiliadou, Sophia 11 2003 Some open problems in higher dimensional complex analysis and complex dynamics. Zbl 0993.32001Fornæss, John Erik; Sibony, Nessim 15 2001 Dynamics of \(\mathbb{P}^2\) (examples). Zbl 1006.37025Fornæss, John Erik; Sibony, Nessim 3 2001 Growth of degree for iterates of rational maps in several variables. Zbl 0987.37033Bonifant, Araceli M.; Fornæss, John Erik 7 2000 A quantized Hénon map. Zbl 1009.37052Fornæss, John Erik; Weickert, Brendan 2 2000 Random iteration in \(\mathbb{P}^k\). Zbl 0973.37032Fornæss, John Erik; Weickert, Brendan 2 2000 \(L^2\) results for \(\bar\partial\) in a conic. Zbl 0952.32023Fornæss, John Erik 2 2000 Infinite dimensional complex dynamics: quasiconjugacies, localization and quantum chaos. Zbl 1009.37036Fornæss, John Erik 1 2000 Hölder estimates on convex domains of finite type. Zbl 0932.32008Diederich, Klas; Fischer, Bert; Fornæss, John Erik 42 1999 Support functions for convex domains of finite type. Zbl 1045.32016Diederich, Klas; Fornæss, John Erik 35 1999 Green’s functions for irregular quadratic polynomial automorphisms of \({\mathbb{C}}^3\). Zbl 0970.37034Coman, Dan; Fornæss, John Erik 8 1999 Complex dynamics in higher dimension. Zbl 0999.37031Fornæss, John Erik; Sibony, Nessim 5 1999 Attractors in \(\mathbb{P}^2\). Zbl 0954.37023Fornæss, John Erik; Weickert, Brendan 5 1999 A nonpluripolar hull with no analytic structure. Zbl 0949.32006Fornæss, John Erik; Levenberg, Norman 2 1999 Tangencies for real and complex Hénon maps: An analytic method. Zbl 0955.37010Fornæss, John Erik; Gavosto, Estela A. 1 1999 Classification of degree 2 polynomial automorphisms of \(\mathbb{C}^3\). Zbl 0923.58006Fornæss, John Erik; Wu, He 13 1998 Fatou and Julia sets for entire mappings in \(\mathbb{C}^k\). Zbl 0931.37016Fornæss, John Erik; Sibony, Nessim 12 1998 Hyperbolic maps on \(\mathbb{P}^2\). Zbl 0928.37006Fornæss, John Erik; Sibony, Nessim 12 1998 The Cauchy Riemann equation on singular spaces. Zbl 1047.32500Fornæss, John Erik; Gavosto, Estela A. 10 1998 Closing lemma for holomorphic functions in \(\mathbb{C}\). Zbl 0915.58084Fornæss, John Erik; Sibony, Nessim 2 1998 The disc method. Zbl 0922.32006Fornæss, John Erik 2 1998 The closing lemma for holomorphic maps. Zbl 0965.37046Fornæss, John Erik; Sibony, Nessim 8 1997 An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement. Zbl 0864.32013Buzzard, Gregery T.; Fornæss, John Erik 13 1996 Dynamics in several complex variables. Expository lectures from the NSF-CBMS regional conference held at SUNY at Albany, Albany, NY, June 12-17, 1994. Zbl 0840.58016Fornæss, John Erik 8 1996 Compositional roots of Hénon maps. Zbl 0941.37022Buzzard, Gregery T.; Fornaess, John Erik 3 1996 Exploding orbits of Hamiltonian and contact structures. Zbl 0852.58072Fornaess, John Erik; Grellier, Sandrine 2 1996 Oka’s inequality for currents and applications. Zbl 0832.32010Fornæss, John Erik; Sibony, Nessim 62 1995 Complex dynamics in higher dimension. II. Zbl 0847.58059Fornaess, John Erik; Sibony, Nessim 61 1995 Classification of recurrent domains for some holomorphic maps. Zbl 0829.58005Fornæss, John Erik; Sibony, Nessim 13 1995 Complete holomorphic vector fields and time-1 maps. Zbl 0847.32038Buzzard, Gregery T.; Fornæss, John Erik 6 1995 Holomorphic symplectomorphisms in \(\mathbb{C} ^ 2\). Zbl 0853.58050Fornæss, John Erik; Sibony, Nessim 3 1995 A 2-sphere in \(\mathbb{C}^ 2\) that cannot be filled in with analytic disks. Zbl 0866.57023Fornæss, John Erik; Ma, Daowei 3 1995 Complex dynamics in higher dimensions. Zbl 0811.32019Fornæss, John Erik; Sibony, Nessim 42 1994 Complex dynamics in higher dimension. I. Zbl 0813.58030Fornaess, John Erik; Sibony, Nessim 35 1994 A construction of peak functions on some finite type domains. Zbl 0809.32005Fornæss, John Erik; McNeal, Jeffery D. 9 1994 Biholomorphisms in dimension 2. Zbl 0864.32014Diederich, K.; Fornæss, J. E.; Ye, Z. 6 1994 Exploding orbits of holomorphic Hamiltonians and of complex contact structures. Zbl 0853.58049Fornæss, John Erik; Grellier, Sandrine 2 1994 Smooth pseudoconvex domains in \(\mathbb{C}^ 2\) for which the Corona theorem and \(L^ p\) estimates for \(\bar \partial\) fail. Zbl 0812.32007Fornaess, John Erik; Sibony, Nessim 4 1993 Several complex variables: Proceedings of the Mittag-Leffler Institute, Stockholm, Sweden, 1987-1988. Zbl 0759.00008 1 1993 Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains. Zbl 0761.32015Fornæss, John Erik; Sibony, Nessim 74 1992 Critically finite rational maps on \({\mathbb{P}{}}^ 2\). Zbl 0772.58024Fornæss, John Erik; Sibony, Nessim 7 1992 Existence of generic homoclinic tangencies for Hénon mappings. Zbl 0780.58031Fornæss, John Erik; Gavosto, Estela A. 5 1992 Random iterations of rational functions. Zbl 0753.30019Fornaess, John Erik; Sibony, Nessim 32 1991 On \(L^ p\) estimates for \(\bar\partial\). Zbl 0827.32019Fornaess, John Erik; Sibony, Nessim 7 1991 Construction of p.s.h. functions on weakly pseudoconvex domains. Zbl 0679.32017Fornaess, John Erik; Sibony, Nessim 36 1989 Approximation of plurisubharmonic functions. Zbl 0693.32009Fornæss, John Erik; Wiegerinck, Jan 20 1989 Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\). Zbl 0661.32025Diederich, K.; Fornæss, J. E. 51 1988 On the smoothness of Levi-foliations. Zbl 0663.32014Barrett, D. E.; Fornaess, J. E. 11 1988 Applications holomorphes propres entre domaines à bord analytique réel. (Proper holomorphic mappings between real-analytic domains). Zbl 0656.32013Diederich, Klas; Fornaess, John E. 7 1988 ...and 63 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 799 Authors 79 Fornæss, John Erik 44 Sibony, Nessim 40 Diederich, Klas 29 Tien Cuong Dinh 27 Wold, Erlend Fornæss 25 Bedford, Eric 24 Forstnerič, Franc 21 Peters, Han 19 Krantz, Steven George 17 Bell, Steven R. 17 Verma, Kaushal 15 Arosio, Leandro 15 Herbort, Gregor 15 Ruppenthal, Jean 13 Nikolov, Nikolai Marinov 13 Sukhov, Alexandre B. 13 Vâjâitu, Viorel 12 Derridj, Makhlouf 12 McNeal, Jeffery D. 12 Nguyen Quang Dieu 12 Nguyên Viêt Anh 12 Sumi, Hiroki 12 Zhou, Xiangyu 12 Zimmer, Andrew M. 11 Alexandre, William 11 Baouendi, Mohammed Salah 11 Bracci, Filippo 11 Colţoiu, Mihnea 11 Rothschild, Linda Preiss 10 Berteloot, François 10 Boas, Harold P. 10 Coman, Dan 10 Pflug, Peter 10 Shafikov, Rasul Gazimovich 10 Shaw, Mei-Chi 10 Straube, Emil J. 9 Cho, Hong Rae 9 Deng, FuSheng 9 Dupont, Christophe 9 Gaussier, Hervé 9 Guedj, Vincent 9 Ohsawa, Takeo 9 Shcherbina, Nikolay 8 Chakrabarti, Debraj 8 Chen, Bo-Yong 8 Favre, Charles 8 Fu, Siqi 8 Merker, Joël 8 Øvrelid, Nils 8 Pal, Ratna 8 Stensønes, Berit 8 Stout, Edgar Lee 8 Zampieri, Giuseppe 8 Zwonek, Włodzimierz 7 Ahn, Taeyong 7 Andersson, Mats 7 Coupet, Bernard 7 de Thélin, Henry 7 Diller, Jeffrey 7 Dujardin, Romain 7 Ha, Ly Kim 7 Huang, Xiaojun 7 Joiţa, Cezar 7 Jonsson, Mattias 7 Kim, Kang-Tae 7 Lewandowski, Arkadiusz 7 Mazzilli, Emmanuel 7 Ninh Văn Thu 7 Rong, Feng 7 Taflin, Johan 7 Tomassini, Giuseppe 6 Barrett, David E. 6 Charpentier, Philippe 6 Comerford, Mark 6 Dupain, Yves 6 Harrington, Phillip S. 6 Hed, Lisa 6 Trần Vũ Khanh 6 Kim, Kyounghee 6 Kosiński, Łukasz 6 Liu, Bingyuan 6 Marinescu, George 6 Mihailescu, Eugen Gh. 6 Mir, Nordine 6 Pan, Yifei 6 Range, R. Michael 6 Şahutoğlu, Sönmez 6 Thomas, Pascal J. 6 Truong Trung Tuyen 6 Vassiliadou, Sophia K. 6 Zaitsev, Dmitri 6 Zhang, Liyou 5 Baracco, Luca 5 Bera, Sayani 5 Berndtsson, Bo 5 Biard, Séverine 5 Błocki, Zbigniew 5 Boc Thaler, Luka 5 Byun, Jisoo 5 Cho, Sanghyun ...and 699 more Authors all top 5 Cited in 175 Serials 137 The Journal of Geometric Analysis 110 Mathematische Zeitschrift 102 Mathematische Annalen 66 Proceedings of the American Mathematical Society 51 Advances in Mathematics 43 Journal of Mathematical Analysis and Applications 43 Transactions of the American Mathematical Society 41 Annales de l’Institut Fourier 37 Inventiones Mathematicae 36 International Journal of Mathematics 34 Duke Mathematical Journal 30 Michigan Mathematical Journal 27 Complex Variables and Elliptic Equations 26 Arkiv för Matematik 24 Manuscripta Mathematica 23 Ergodic Theory and Dynamical Systems 22 Journal of Functional Analysis 19 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Nagoya Mathematical Journal 10 Journal of the American Mathematical Society 10 Complex Analysis and Operator Theory 9 Acta Mathematica 9 Communications in Partial Differential Equations 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Bulletin of the American Mathematical Society. New Series 7 Journal d’Analyse Mathématique 7 Science in China. Series A 6 Rocky Mountain Journal of Mathematics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Illinois Journal of Mathematics 6 Conformal Geometry and Dynamics 6 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Vietnamica 5 Annales Polonici Mathematici 5 Indiana University Mathematics Journal 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Tôhoku Mathematical Journal. Second Series 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Complex Analysis and its Synergies 4 Bulletin de la Société Mathématique de France 4 Mathematische Nachrichten 4 Osaka Journal of Mathematics 4 Geometric and Functional Analysis. GAFA 4 Indagationes Mathematicae. New Series 4 Bulletin des Sciences Mathématiques 4 Journal of Difference Equations and Applications 4 Annals of Mathematics. Second Series 4 Computational Methods and Function Theory 4 Bulletin of the American Mathematical Society 4 Science China. Mathematics 4 Bollettino dell’Unione Matematica Italiana 3 Israel Journal of Mathematics 3 Nonlinearity 3 Pacific Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 Bulletin of the Korean Mathematical Society 3 Forum Mathematicum 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Acta Mathematica Sinica. New Series 3 Experimental Mathematics 3 Potential Analysis 3 Journal of Algebraic Geometry 3 Geometry & Topology 3 Communications in Contemporary Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Studia Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Compositio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Publicacions Matemàtiques 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Izvestiya: Mathematics 2 Nonlinear Dynamics 2 Mathematical Physics, Analysis and Geometry 2 Acta Mathematica Sinica. English Series 2 Dynamical Systems 2 Journal of Modern Dynamics 2 Kyoto Journal of Mathematics 2 Bulletin of Mathematical Sciences 2 Arnold Mathematical Journal 2 European Journal of Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Statistical Physics 1 Mathematical Notes ...and 75 more Serials all top 5 Cited in 40 Fields 1,150 Several complex variables and analytic spaces (32-XX) 288 Dynamical systems and ergodic theory (37-XX) 81 Functions of a complex variable (30-XX) 78 Algebraic geometry (14-XX) 67 Partial differential equations (35-XX) 63 Differential geometry (53-XX) 52 Functional analysis (46-XX) 37 Potential theory (31-XX) 33 Global analysis, analysis on manifolds (58-XX) 23 Manifolds and cell complexes (57-XX) 22 Operator theory (47-XX) 10 Approximations and expansions (41-XX) 9 Real functions (26-XX) 9 Probability theory and stochastic processes (60-XX) 8 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Measure and integration (28-XX) 8 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 6 Commutative algebra (13-XX) 6 Algebraic topology (55-XX) 5 Group theory and generalizations (20-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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