Edit Profile (opens in new tab) Stein, Elias Menachem (b. 1931 d. 2018) Co-Author Distance Author ID: stein.elias-m Published as: Stein, Elias M.; Stein, Elias; Stein, E. M.; Stein, E. more...less Homepage: https://www.math.princeton.edu/people/elias-stein External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Wolf Prize (1999) Documents Indexed: 234 Publications since 1956, including 16 Books 5 Contributions as Editor · 3 Further Contributions Biographic References: 18 Publications Co-Authors: 76 Co-Authors with 181 Joint Publications 2,678 Co-Co-Authors all top 5 Co-Authors 61 single-authored 22 Nagel, Alexander 21 Wainger, Stephen 16 Phong, Duong Hong 13 Ricci, Fulvio 11 Knapp, Anthony William 11 Weiss, Guido Leopold 10 Lanzani, Loredana 10 Mirek, Mariusz 6 Müller, Detlef 5 Bourgain, Jean 5 Chang, Der-Chen E. 5 Kunze, Ray Alden 5 Zygmund, Antoni 4 Fefferman, Charles Louis 4 Greiner, Peter C. 4 Gulisashvili, Archil 4 Shakarchi, Rami 4 Sogge, Christopher D. 4 Wróbel, Błażej Jan 3 Coifman, Ronald Raphaël 3 Folland, Gerald B. 3 Kerzman, Norberto L. 3 Magyar, Akos 3 Meyer, Yves 3 Nevo, Amos 3 Street, Brian 3 Zorin-Kranich, Pavel 2 Calderon, Alberto Pedro 2 Christ, Michael 2 Córdoba Barba, Antonio Juan 2 Fefferman, Robert A. 2 Geller, Daryl 2 Gundy, Richard F. 2 Jerison, David S. 2 Kenig, Carlos Eduardo 2 Kohn, Joseph John 2 Korányi, Adam 2 Krantz, Steven George 2 McNeal, Jeffery D. 2 Rosay, Jean-Pierre 2 Sinaĭ, Yakov Grigor’evich 2 Taibleson, Mitchell H. 2 Trojan, Bartosz 2 Weiss, Norman J. 1 Arocena, Rodrigo 1 Beckner, William 1 Burkholder, Donald L. 1 Chang, Sun-Yung Alice 1 Clerc, Jean-Louis 1 Cordoba, Diego 1 Cotlar, Mischa 1 Dafni, Galia 1 Fefferman, Ronald Raphaël 1 Fröhlich, Jürg Martin 1 Gasper, George Jun 1 Graham, C. Robin 1 Gressman, Philip T. 1 Grossmann, Alexandre 1 Gundy, R. R. 1 Gutiérrez, Cristian E. 1 Hunt, Richard A. 1 Ionescu, Alexandru D. 1 Janson, Svante 1 Jodeit, Max jun. 1 Jones, Peter Wilcox 1 Kahane, Jean-Pierre 1 Klartag, Bo’az 1 Kurtz, Douglas S. 1 Lieb, Elliott Hershel 1 Lohoué, Noël 1 Loupias, Guy 1 Margulis, Grigoriĭ Aleksandrovich 1 McIntosh, Alan 1 Montgomery, Hugh Lowell 1 Muckenhoupt, Benjamin 1 Neugebauer, Christoph J. 1 Nirenberg, Louis 1 Oberlin, Daniel M. 1 Ostrow, E. H. 1 Pychorides, S. K. 1 Rothschild, Linda Preiss 1 Sadosky, Cora 1 Sahi, Siddhartha 1 Seco, Luis Angel 1 Seeger, Andreas 1 Silverstein, Martin L. 1 Stein, Jeremy C. 1 Strömberg, Jan-Olov 1 Sturm, J. A. 1 Sturm, Jacob 1 Tao, Terence 1 Weiss, Mary 1 Wheeden, Richard Lee 1 Wightman, Arthur Strong 1 Wriggers, Peter 1 Yung, Polam 1 Zafran, Misha all top 5 Serials 21 Proceedings of the National Academy of Sciences of the United States of America 17 Annals of Mathematics. Second Series 11 Acta Mathematica 10 Inventiones Mathematicae 9 Advances in Mathematics 9 American Journal of Mathematics 8 Bulletin of the American Mathematical Society 7 Duke Mathematical Journal 7 Journal of Functional Analysis 6 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Mathematical Research Letters 5 Journal d’Analyse Mathématique 4 Studia Mathematica 4 Mathematische Annalen 4 Notices of the American Mathematical Society 4 Mathematical Notes (Princeton) 4 Princeton Lectures in Analysis 3 Mathematische Zeitschrift 3 Revista Matemática Iberoamericana 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Princeton Mathematical Series 2 Arkiv för Matematik 2 Annales de l’Institut Fourier 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Mathematical Finance 2 Oberwolfach Reports 2 Journal of Mathematics and Mechanics 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Annals of Mathematics Studies 1 Communications on Pure and Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Applied Mathematics and Optimization 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Analysis & PDE 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Pi 1 The Review of Financial Studies all top 5 Fields 94 Harmonic analysis on Euclidean spaces (42-XX) 42 Abstract harmonic analysis (43-XX) 34 Several complex variables and analytic spaces (32-XX) 34 Partial differential equations (35-XX) 26 Topological groups, Lie groups (22-XX) 23 Operator theory (47-XX) 21 Functional analysis (46-XX) 16 Integral transforms, operational calculus (44-XX) 11 Real functions (26-XX) 9 History and biography (01-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Numerical analysis (65-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 5 Probability theory and stochastic processes (60-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Integral equations (45-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 225 Publications have been cited 28,660 times in 19,062 Documents Cited by ▼ Year ▼ Singular integrals and differentiability properties of functions. Zbl 0207.13501 Stein, Elias M. 6,008 1970 Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals. With the assistance of Timothy S. Murphy. Zbl 0821.42001 Stein, Elias M. 4,198 1993 Introduction to Fourier analysis on Euclidean spaces. Zbl 0232.42007 Stein, Elias M.; Weiss, Guido 2,795 1971 \(H^p\) spaces of several variables. Zbl 0257.46078 Fefferman, Charles Louis; Stein, Elias M. 1,471 1972 Hardy spaces on homogeneous groups. Zbl 0508.42025 Folland, G. B.; Stein, Elias M. 957 1982 Hypoelliptic differential operators and nilpotent groups. Zbl 0346.35030 Rothschild, Linda Preiss; Stein, Elias M. 570 1977 Topics in harmonic analysis related to the Littlewood-Paley theory. Zbl 0193.10502 Stein, Elias M. 567 1970 Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012 Folland, G. B.; Stein, Elias M. 543 1974 Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 533 1985 Some maximal inequalities. Zbl 0222.26019 Fefferman, Charles; Stein, Elias M. 475 1971 Stock price distributions with stochastic volatility: an analytic approach. Zbl 1458.62253 Stein, Elias M.; Stein, Jeremy C. 378 1991 On the theory of harmonic functions of several variables. Zbl 0097.28501 Stein, Elias M.; Weiss, Guido 316 1960 Interpolation of linear operators. Zbl 0072.32402 Stein, Elias M. 284 1956 Some new function spaces and their applications to harmonic analysis. Zbl 0569.42016 Coifman, R. R.; Meyer, Yves; Stein, Elias M. 269 1985 Problems in harmonic analysis related to curvature. Zbl 0393.42010 Stein, Elias M.; Wainger, Stephen 258 1978 On the functions of Littlewood-Paley, Lusin and Marcinkiewicz. Zbl 0105.05104 Stein, Elias M. 257 1961 Complex analysis. Zbl 1020.30001 Stein, Elias M.; Shakarchi, Rami 249 2003 Multilinear estimates and fractional integration. Zbl 0952.42005 Kenig, Carlos E.; Stein, Elias M. 243 1999 Fractional integrals on \(n\)-dimensional Euclidean space. Zbl 0082.27201 Stein, Elias M.; Weiss, Guido 242 1958 Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein). Zbl 0593.35119 Jerison, David; Kenig, Carlos E. 226 1985 Maximal functions. I: Spherical means. Zbl 0332.42018 Stein, Elias M. 220 1976 Real analysis. Measure theory, integration, and Hilbert spaces. Zbl 1081.28001 Stein, Elias M.; Shakarchi, Rami 209 2005 Fourier analysis. An Introduction. Zbl 1026.42001 Stein, Elias M.; Shakarchi, Rami 187 2003 Intertwining operators for semisimple groups. Zbl 0257.22015 Knapp, A. W.; Stein, Elias M. 186 1971 Classical expansions and their relation to conjugate harmonic functions. Zbl 0139.29002 Muckenhoupt, Benjamin; Stein, Elias M. 180 1965 Boundary behavior of holomorphic functions of several complex variables. Zbl 0242.32005 Stein, Elias M. 179 1972 Interpolation of operators with change of measures. Zbl 0083.34301 Stein, Elias M.; Weiss, G. 169 1958 Singular integrals on product spaces. Zbl 0517.42024 Fefferman, Robert; Stein, Elias M. 166 1982 On limits of sequences of operators. Zbl 0103.08903 Stein, Elias M. 161 1961 Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals. Zbl 0622.42010 Ricci, Fulvio; Stein, Elias M. 145 1987 Regularity properties of Fourier integral operators. Zbl 0754.58037 Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M. 138 1991 Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\). Zbl 0667.32016 Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S. 133 1989 Functional analysis. Introduction to further topics in analysis. Zbl 1235.46001 Stein, Elias M.; Shakarchi, Rami 121 2011 The characterization of functions arising as potentials. I, II. Zbl 0127.32002 Stein, Elias M. 120 1962 \(H^p\) theory for the poly-disc. Zbl 0405.32002 Gundy, R. F.; Stein, Elias M. 106 1979 Note on the class \(L \log L\). Zbl 0182.47803 Stein, Elias M. 104 1969 Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains. Zbl 0392.32014 Phong, D. H.; Stein, Elias M. 102 1977 Oscillatory integrals in Fourier analysis. Zbl 0618.42006 Stein, Elias M. 100 1986 Hilbert integrals, singular integrals, and Radon transforms. I. Zbl 0622.42011 Phong, D. H.; Stein, Elias M. 97 1986 Generalization of the Cauchy-Riemann equations and representations of the rotation group. Zbl 0157.18303 Stein, Elias M.; Weiss, Guido 94 1968 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012 Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 93 1995 Mapping properties of the Bergman projection on convex domains of finite type. Zbl 0801.32008 McNeal, J. D.; Stein, Elias M. 89 1994 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 86 2002 Editor’s note: the differentiability of functions in \({\mathbb{R}}^ n\). Zbl 0531.46021 Stein, Elias M. 84 1981 \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems. Zbl 0804.35027 Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M. 83 1993 Intertwining operators for semisimple groups. II. Zbl 0454.22010 Knapp, A. W.; Stein, Elias M. 83 1980 Estimates for the \(\overline\partial\)-Neumann problem. Zbl 0354.35002 Greiner, P. C.; Stein, Elias M. 81 1977 L\(^p\)-multipliers for noncompact symmetric spaces. Zbl 0296.43004 Clerc, J. L.; Stein, Elias M. 81 1974 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001 Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 81 1999 The Newton polyhedron and oscillatory integral operators. Zbl 0896.35147 Phong, D. H.; Stein, Elias M. 78 1997 Functions of exponential type. Zbl 0079.13103 Stein, Elias M. 78 1957 Differentiation in lacunary directions. Zbl 0391.42015 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 75 1978 Uniformly bounded representations and harmonic analysis of the 2x2 real unimodular group. Zbl 0156.37104 Kunze, R. A.; Stein, Elias M. 75 1960 Localization and summability of multiple Fourier series. Zbl 0085.28401 Stein, Elias M. 75 1958 The development of square functions in the work of A. Zygmund. Zbl 0526.01021 Stein, Elias M. 74 1982 Averages of functions over hypersurfaces in \(\mathbb R^n\). Zbl 0626.42009 Sogge, Christopher D.; Stein, Elias M. 73 1985 Singular integrals with flag kernels and analysis on quadratic CR manifolds. Zbl 0974.22007 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M. 71 2001 An algebra of pseudodifferential operators and quantum mechanics in phase space. Zbl 0176.45102 Grossmann, A.; Loupias, Guy; Stein, Elias M. 70 1968 On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011 Müller, D.; Stein, Elias M. 64 1994 The Szegö kernel in terms of Cauchy-Fantappie kernels. Zbl 0387.32009 Kerzman, N.; Stein, Elias M. 64 1978 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001 Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 60 1996 Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in \(\mathbf{R}^n\). Zbl 0917.35028 Chang, Der-Chen; Dafni, Galia; Stein, Elias M. 60 1999 The Cauchy kernel, the Szegö kernel, and the Riemann mapping function. Zbl 0419.30012 Kerzman, N.; Stein, Elias M. 59 1978 Weak type estimates for maximal operators on certain \(H^ p \)classes. Zbl 0503.42018 Stein, Elias M.; Taibleson, Mitchell H.; Weiss, Guido 57 1981 An extension of a theorem of Marcinkiewicz and some of its applications. Zbl 0084.10801 Stein, Elias M.; Weiss, Guido 57 1959 Boundedness of translation invariant operators on Hölder spaces and \(L^ p\)-spaces. Zbl 0172.40102 Stein, Elias M.; Zygmund, Antoni 56 1967 On the product theory of singular integrals. Zbl 1057.42016 Nagel, Alexander; Stein, Elias M. 56 2005 Behavior of maximal functions in \(R^ n\) for large n. Zbl 0537.42018 Stein, Elias M.; Strömberg, Jan-Olov 56 1983 On the maximal ergodic theorem. Zbl 0182.47102 Stein, Elias M. 55 1961 Mapping properties of the Radon transform. Zbl 0548.44003 Oberlin, D. M.; Stein, Elias M. 55 1982 \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates. Zbl 1397.42006 Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz 55 2017 Note on singular integrals. Zbl 0077.27301 Stein, Elias M. 55 1957 The \(\overline\partial_b\)-complex on decoupled boundaries in \(\mathbb C^n\). Zbl 1126.32031 Nagel, Alexander; Stein, Elias M. 54 2006 Multiparameter singular integrals and maximal functions. Zbl 0760.42008 Ricci, Fulvio; Stein, Elias M. 51 1992 Models of degenerate Fourier integral operators and Radon transforms. Zbl 0833.43004 Phong, D. H.; Stein, Elias M. 49 1994 Singular integrals and estimates for the Cauchy-Riemann equations. Zbl 0257.35040 Stein, Elias M. 49 1973 On certain maximal functions and approach regions. Zbl 0546.42017 Nagel, Alexander; Stein, Elias M. 49 1984 Lectures on pseudo-differential operators: Regularity theorems and applications to non-elliptic problems. Zbl 0415.47025 Nagel, Alexander; Stein, Elias M. 47 1979 On the convergence of Poisson integrals. Zbl 0182.10801 Stein, Elias M.; Weiss, N. J. 47 1969 On the growth and stability of real-analytic functions. Zbl 1015.26031 Phong, D. H.; Stein, Elias M.; Sturm, J. A. 47 1999 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009 Stein, Elias M.; Wainger, Stephen 45 1999 Szegö and Bergman projections on non-smooth planar domains. Zbl 1046.30023 Lanzani, Loredana; Stein, Elias M. 45 2004 Some problems in harmonic analysis. Zbl 0445.42006 Stein, Elias M. 43 1979 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007 Stein, Elias M.; Wainger, Stephen 43 2001 Some results in harmonic analysis in \(\mathbb{R}^n\), for \(n\to \infty\). Zbl 0515.42018 Stein, Elias M. 42 1983 Radon transforms and torsion. Zbl 0761.46033 Phong, D. H.; Stein, Elias M. 40 1991 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 39 2012 Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\). Zbl 0188.45303 Stein, Elias M. 38 1967 The Bergman projection in \(L^{p}\) for domains with minimal smoothness. Zbl 1282.32001 Lanzani, Loredana; Stein, Elias M. 38 2012 Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds. Zbl 0645.42019 Ricci, Fulvio; Stein, Elias M. 38 1988 Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\). Zbl 0821.32011 Chang, D.-C.; Nagel, Alexander; Stein, Elias M. 37 1992 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010 Stein, Elias M.; Wainger, Stephen 37 2000 A note on div curl inequalities. Zbl 1113.26015 Lanzani, Loredana; Stein, Elias M. 36 2005 The Szegö projection on convex domains. Zbl 0948.32004 McNeal, J. D.; Stein, Elias M. 34 1997 Singular integrals and differentiability properties of functions. (Singuljarnye integraly i differencial’nye svoistva funkcii.) Übersetzung aus dem Englischen von V. I. Burenkov und E. E. Peisahovic. Herausgegeben von V. I. Burenkov. Zbl 0281.44003 Stein, Elias M. 34 1973 Multilinear level set operators, oscillatory integral operators, and Newton polyhedra. Zbl 0993.47034 Phong, D. H.; Stein, Elias M.; Sturm, Jocob 34 2001 A generalization of Birkhoff’s pointwise ergodic theorem. Zbl 0837.22003 Nevo, Amos; Stein, Elias M. 33 1994 Hilbert integrals, singular integrals, and Radon transforms. II. Zbl 0656.42009 Phong, D. H.; Stein, Elias M. 33 1986 Boundary behavior of functions holomorphic in domains of finite type (area integrals/maximal functions/pseudometrics). Zbl 0517.32002 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 33 1981 Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds. Zbl 0684.22006 Ricci, Fulvio; Stein, Elias M. 32 1989 On a multi-parameter variant of the Bellow-Furstenberg problem. Zbl 1533.37014 Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wright, James 2 2023 On the Hardy-Littlewood maximal functions in high dimensions: continuous and discrete perspective. Zbl 1479.42046 Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej 5 2021 On regularity and irregularity of certain holomorphic singular integral operators. Zbl 1482.32002 Lanzani, Loredana; Stein, Elias M. 2 2021 A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023 Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 24 2020 Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\). Zbl 1436.42022 Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 22 2020 Jump inequalities via real interpolation. Zbl 1448.60052 Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 21 2020 On discrete Hardy-Littlewood maximal functions over the balls in \(\mathbb{Z}^d\): dimension-free estimates. Zbl 1446.42026 Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej 6 2020 \(\ell^p(\mathbb{Z}^d)\)-estimates for discrete operators of Radon type: maximal functions and vector-valued estimates. Zbl 1444.42026 Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz 18 2019 Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in \(\mathbb{Z}^d\). Zbl 1431.42033 Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej 12 2019 The Cauchy-Leray integral: counter-examples to the \(L^p\)-theory. Zbl 1439.32009 Lanzani, Loredana; Stein, Elias 5 2019 Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 29 2018 On dimension-free variational inequalities for averaging operators in \({\mathbb{R}^d}\). Zbl 1402.42023 Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej 18 2018 \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates. Zbl 1397.42006 Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz 55 2017 The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness. Zbl 1367.32005 Lanzani, Loredana; Stein, Elias M. 20 2017 The role of an integration identity in the analysis of the Cauchy-Leray transform. Zbl 1405.32005 Lanzani, Loredana; Stein, Elias M. 5 2017 Ad honorem Charles Fefferman. Zbl 1377.01024 Córdoba, Antonio; Stein, Elias; Tao, Terence; Nirenberg, Louis; Kohn, Joseph J.; Chang, Sun-Yung Alice; Graham, C. Robin; Córdoba, Diego; Klartag, Bo’az; Fröhlich, Jürg; Seco, Luis; Weinstein, Michael 2 2017 Hardy spaces of holomorphic functions for domains in \(\mathbb{C}^n\) with minimal smoothness. Zbl 1405.32007 Lanzani, Loredana; Stein, Elias M. 5 2016 The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness. Zbl 1317.32007 Lanzani, Loredana; Stein, Elias M. 19 2014 Cauchy-type integrals in several complex variables. Zbl 1277.32002 Lanzani, Loredana; Stein, Elias M. 28 2013 Multi-parameter singular Radon transforms. II: The \(L^p\) theory. Zbl 1329.42014 Stein, Elias M.; Street, Brian 20 2013 Pseudodifferential operators of mixed type adapted to distributions of \(k\)-planes. Zbl 1312.47060 Stein, Elias M.; Yung, Po-Lam 8 2013 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 39 2012 The Bergman projection in \(L^{p}\) for domains with minimal smoothness. Zbl 1282.32001 Lanzani, Loredana; Stein, Elias M. 38 2012 Multi-parameter singular Radon transforms III: Real analytic surfaces. Zbl 1242.42010 Stein, Elias M.; Street, Brian 29 2012 Functional analysis. Introduction to further topics in analysis. Zbl 1235.46001 Stein, Elias M.; Shakarchi, Rami 121 2011 Multi-parameter singular Radon transforms. Zbl 1239.42019 Stein, Elias M.; Street, Brian 12 2011 Asymptotic behavior of the stock price distribution density and implied volatility in stochastic volatility models. Zbl 1208.91172 Gulisashvili, Archil; Stein, Elias M. 27 2010 Asymptotic behavior of distribution densities in models with stochastic volatility. I. Zbl 1198.91247 Gulisashvili, Archil; Stein, Elias M. 12 2010 Implied volatility in the Hull-White model. Zbl 1168.91360 Gulisashvili, Archil; Stein, Elias M. 9 2009 Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002 Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen 18 2007 Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 4 2007 The \(\overline\partial_b\)-complex on decoupled boundaries in \(\mathbb C^n\). Zbl 1126.32031 Nagel, Alexander; Stein, Elias M. 54 2006 Asymptotic behavior of the distribution of the stock price in models with stochastic volatility: the Hull-White model. Zbl 1134.91021 Gulisashvili, Archil; Stein, Elias M. 11 2006 Real analysis. Measure theory, integration, and Hilbert spaces. Zbl 1081.28001 Stein, Elias M.; Shakarchi, Rami 209 2005 On the product theory of singular integrals. Zbl 1057.42016 Nagel, Alexander; Stein, Elias M. 56 2005 A note on div curl inequalities. Zbl 1113.26015 Lanzani, Loredana; Stein, Elias M. 36 2005 Szegö and Bergman projections on non-smooth planar domains. Zbl 1046.30023 Lanzani, Loredana; Stein, Elias M. 45 2004 Complex analysis. Zbl 1020.30001 Stein, Elias M.; Shakarchi, Rami 249 2003 Fourier analysis. An Introduction. Zbl 1026.42001 Stein, Elias M.; Shakarchi, Rami 187 2003 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 86 2002 Two discrete fractional integral operators revisited. Zbl 1029.39016 Stein, Elias M.; Wainger, Stephen 24 2002 Singular integrals with flag kernels and analysis on quadratic CR manifolds. Zbl 0974.22007 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M. 71 2001 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007 Stein, Elias M.; Wainger, Stephen 43 2001 Multilinear level set operators, oscillatory integral operators, and Newton polyhedra. Zbl 0993.47034 Phong, D. H.; Stein, Elias M.; Sturm, Jocob 34 2001 The \(\square_b\)-heat equation on pseudoconvex manifolds of finite type in \(\mathbb{C}^2\). Zbl 1039.32051 Nagel, Alexander; Stein, Elias M. 24 2001 Differentiable control metrics and scaled bump functions. Zbl 1041.58006 Nagel, Alexander; Stein, Elias M. 21 2001 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010 Stein, Elias M.; Wainger, Stephen 37 2000 Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. Zbl 0978.22006 Margulis, G. A.; Nevo, A.; Stein, Elias M. 13 2000 Some geometrical concepts arising in harmonic analysis. Zbl 0996.43001 Stein, Elias M. 13 2000 Multilinear estimates and fractional integration. Zbl 0952.42005 Kenig, Carlos E.; Stein, Elias M. 243 1999 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001 Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 81 1999 Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in \(\mathbf{R}^n\). Zbl 0917.35028 Chang, Der-Chen; Dafni, Galia; Stein, Elias M. 60 1999 On the growth and stability of real-analytic functions. Zbl 1015.26031 Phong, D. H.; Stein, Elias M.; Sturm, J. A. 47 1999 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009 Stein, Elias M.; Wainger, Stephen 45 1999 \(L^p\)-estimates for the wave equation on the Heisenberg group. Zbl 0935.43003 Müller, Detlef; Stein, Elias M. 27 1999 Calderón and Zygmund’s theory of singular integrals. Zbl 0945.01004 Stein, Elias M. 1 1999 Damped oscillatory integral operators with analytic phases. Zbl 0899.47037 Phong, D. H.; Stein, Elias M. 21 1998 Singular integrals: The roles of Calderón and Zygmund. Zbl 0973.01027 Stein, Elias M. 12 1998 The Newton polyhedron and oscillatory integral operators. Zbl 0896.35147 Phong, D. H.; Stein, Elias M. 78 1997 The Szegö projection on convex domains. Zbl 0948.32004 McNeal, J. D.; Stein, Elias M. 34 1997 Analogs of Wiener’s ergodic theorems for semisimple groups. I. Zbl 0884.43004 Nevo, Amos; Stein, Elias M. 14 1997 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001 Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 60 1996 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012 Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 93 1995 Oscillatory integrals related to Radon-like transforms. Zbl 0971.42009 Stein, Elias M. 15 1995 Spectral multipliers and multiple-parameter structures on the Heisenberg group. Zbl 0876.43005 Stein, Elias M. 3 1995 Mapping properties of the Bergman projection on convex domains of finite type. Zbl 0801.32008 McNeal, J. D.; Stein, Elias M. 89 1994 On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011 Müller, D.; Stein, Elias M. 64 1994 Models of degenerate Fourier integral operators and Radon transforms. Zbl 0833.43004 Phong, D. H.; Stein, Elias M. 49 1994 A generalization of Birkhoff’s pointwise ergodic theorem. Zbl 0837.22003 Nevo, Amos; Stein, Elias M. 33 1994 Operator versions of the van der Corput lemma and Fourier integral operators. Zbl 0836.42008 Phong, D. H.; Stein, Elias M. 10 1994 On a stopping process for oscillatory integrals. Zbl 0803.42003 Phong, D. H.; Stein, Elias M. 9 1994 Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals. With the assistance of Timothy S. Murphy. Zbl 0821.42001 Stein, Elias M. 4,198 1993 \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems. Zbl 0804.35027 Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M. 83 1993 Multiparameter singular integrals and maximal functions. Zbl 0760.42008 Ricci, Fulvio; Stein, Elias M. 51 1992 Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\). Zbl 0821.32011 Chang, D.-C.; Nagel, Alexander; Stein, Elias M. 37 1992 Oscillatory integrals with polynomial phases. Zbl 0829.42014 Phong, D. H.; Stein, Elias M. 24 1992 Hardy spaces and elliptic boundary value problems. Zbl 0765.42014 Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M. 19 1992 Antoni Zygmund: 1900–1992. Zbl 1194.01074 Calderón, A. P.; Stein, Elias M. 1 1992 Stock price distributions with stochastic volatility: an analytic approach. Zbl 1458.62253 Stein, Elias M.; Stein, Jeremy C. 378 1991 Regularity properties of Fourier integral operators. Zbl 0754.58037 Seeger, Andreas; Sogge, Christopher D.; Stein, Elias M. 138 1991 Radon transforms and torsion. Zbl 0761.46033 Phong, D. H.; Stein, Elias M. 40 1991 Discrete analogues of singular Radon transforms. Zbl 0718.42015 Stein, Elias M.; Wainger, S. 24 1990 Averages over hypersurfaces. Smoothness of generalized Radon transforms. Zbl 0695.42012 Sogge, C. D.; Stein, Elias M. 19 1990 Harmonic analysis and fundamental solutions on nilpotent Lie groups. Zbl 0697.43002 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M. 15 1990 Analysis in matrix space and Speh’s representations. Zbl 0728.22010 Sahi, Siddhartha; Stein, Elias M. 14 1990 Fundamental solutions and harmonic analysis on nilpotent groups. Zbl 0725.35002 Nagel, A.; Ricci, F.; Stein, Elias M. 7 1990 Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\). Zbl 0667.32016 Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S. 133 1989 Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds. Zbl 0684.22006 Ricci, Fulvio; Stein, Elias M. 32 1989 Singular Radon transforms and oscillatory integrals. Zbl 0738.42011 Phong, D. H.; Stein, Elias M. 10 1989 Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds. Zbl 0645.42019 Ricci, Fulvio; Stein, Elias M. 38 1988 Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains. Zbl 0642.32014 Nagel, Alexander; Rosay, Jean-Pierre; Stein, Elias M.; Wainger, Stephen 16 1988 Estimates for the \({\bar \partial}\)-Neumann problem for pseudoconvex domains in \({\mathbb{C}}^ 2\) of finite type. Zbl 0662.32015 Chang, D. C.; Nagel, A.; Stein, Elias M. 11 1988 The use of Lie derivatives for the determination of the strain flow for large deformations. (Die Verwendung von Lie-Ableitungen bei der Angabe von Spannungsflüssen für große Deformationen.) Zbl 0662.73029 Wriggers, Peter; Stein, Elias M. 2 1988 Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals. Zbl 0622.42010 Ricci, Fulvio; Stein, Elias M. 145 1987 Problems in harmonic analysis related to curvature and oscillatory integrals. Zbl 0718.42012 Stein, Elias M. 29 1987 A remark on singular Calderón-Zygmund theory. Zbl 0622.42012 Christ, Michael; Stein, Elias M. 12 1987 Oscillatory integrals in Fourier analysis. Zbl 0618.42006 Stein, Elias M. 100 1986 Hilbert integrals, singular integrals, and Radon transforms. I. Zbl 0622.42011 Phong, D. H.; Stein, Elias M. 97 1986 Hilbert integrals, singular integrals, and Radon transforms. II. Zbl 0656.42009 Phong, D. H.; Stein, Elias M. 33 1986 Beijing lectures in harmonic analysis. (Summer School in Analysis, Beijing, The People’s Republic of China, September 1984). Zbl 0595.00015 28 1986 ...and 125 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,180 Authors 242 Yang, Dachun 111 Ruzhansky, Michael V. 89 Fan, Dashan 89 Stein, Elias Menachem 83 Ding, Yong 82 Yuan, Wen 78 Chen, Jiecheng 77 Lu, Guozhen 71 Li, Ji 70 Lu, Shanzhen 68 Guliyev, Vagif Sabir 64 Sawano, Yoshihiro 64 Xue, Qingying 63 Duong, Xuan Thinh 63 Wu, Huoxiong 62 Grafakos, Loukas 61 Betancor Perez, Jorge Juan 61 Chang, Der-Chen E. 61 Weisz, Ferenc 59 Qian, Tao 59 Yan, Lixin 55 Abreu-Blaya, Ricardo 54 Seeger, Andreas 53 Lee, Sanghyuk 51 Ho, Kwok-Pun 51 Karmanova, Mariya Borisovna 49 Kenig, Carlos Eduardo 47 Hofmann, Steve 47 Vodop’yanov, Sergeĭ Konstantinovich 46 Krantz, Steven George 45 Bory Reyes, Juan 45 Liu, Feng 45 Shimomura, Tetsu 45 Yabuta, Kôzô 44 Chen, Yanping 44 Mitrea, Marius 44 Torrea, José Luis 43 Han, Yongsheng 43 Mizuta, Yoshihiro 43 Xiao, Jie 42 Li, Pengtao 42 Rubin, Boris 42 Tao, Terence 41 Pan, Yibiao 41 The Anh Bui 40 Franchi, Bruno 40 Garofalo, Nicola 40 Müller, Detlef 39 Auscher, Pascal 39 Yang, Sibei 38 Citti, Giovanna 38 Liflyand, Elijah 38 Mejjaoli, Hatem 38 Osękowski, Adam 38 Ricci, Fulvio 37 Cowling, Michael G. 37 Sjogren, Peter 37 Yan, Dunyan 36 Thangavelu, Sundaram 35 Byun, Sun-Sig 35 Rodríguez-Mesa, Lourdes 35 Suragan, Durvudkhan 34 Christ, Michael 34 Wick, Brett Duane 33 Sawyer, Eric T. 33 Triebel, Hans 32 Tikhonov, Sergey Yur’evich 31 Koskela, Pekka 31 Wainger, Stephen 31 Zhao, Jiman 30 Colzani, Leonardo 30 Fariña, Juan Carlos 30 Kats, Boris Aleksandrovich 30 Lin, Chincheng 30 Liu, Yu 30 Meskhi, Alexander 29 Brandolini, Luca 29 Castro, Alejandro J. 29 Ditzian, Zeev 29 Hytönen, Tuomas P. 29 Iosevich, Alex 29 Liu, Liguang 29 Martell, José María (Chema) 29 Mingione, Giuseppe 29 Niu, Pengcheng 29 Roncal, Luz 29 Song, Liang 29 Tang, Lin 29 Vallarino, Maria 29 Wang, Lihe 29 Wheeden, Richard Lee 29 Yang, Dongyong 28 Fu, Zunwei 28 Hayashi, Nakao 28 Hu, Guoen 28 Lacey, Michael T. 28 Mayboroda, Svitlana 28 Maz’ya, Vladimir Gilelevich 28 Meda, Stefano 28 Miao, Changxing ...and 13,080 more Authors all top 5 Cited in 822 Serials 863 Journal of Functional Analysis 840 Journal of Mathematical Analysis and Applications 599 Transactions of the American Mathematical Society 496 Proceedings of the American Mathematical Society 408 The Journal of Geometric Analysis 401 Journal of Differential Equations 333 Advances in Mathematics 310 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 43 Illinois Journal of Mathematics 43 Advances in Applied Clifford Algebras ...and 722 more Serials all top 5 Cited in 63 Fields 6,517 Partial differential equations (35-XX) 6,445 Harmonic analysis on Euclidean spaces (42-XX) 3,359 Functional analysis (46-XX) 2,482 Operator theory (47-XX) 1,268 Probability theory and stochastic processes (60-XX) 1,256 Real functions (26-XX) 1,186 Abstract harmonic analysis (43-XX) 1,149 Fluid mechanics (76-XX) 1,074 Functions of a complex variable (30-XX) 1,009 Several complex variables and analytic spaces (32-XX) 937 Topological groups, Lie groups (22-XX) 874 Global analysis, analysis on manifolds (58-XX) 785 Potential theory (31-XX) 759 Numerical analysis (65-XX) 700 Approximations and expansions (41-XX) 648 Differential geometry (53-XX) 597 Integral transforms, operational calculus (44-XX) 511 Measure and integration (28-XX) 427 Calculus of variations and optimal control; optimization (49-XX) 423 Quantum theory (81-XX) 413 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 368 Number theory (11-XX) 360 Integral equations (45-XX) 320 Dynamical systems and ergodic theory (37-XX) 316 Special functions (33-XX) 278 Statistical mechanics, structure of matter (82-XX) 260 Statistics (62-XX) 219 Ordinary differential equations (34-XX) 206 Mechanics of deformable solids (74-XX) 157 Information and communication theory, circuits (94-XX) 122 Biology and other natural sciences (92-XX) 119 Convex and discrete geometry (52-XX) 119 Systems theory; control (93-XX) 115 Computer science (68-XX) 112 Optics, electromagnetic theory (78-XX) 107 Combinatorics (05-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 98 Geophysics (86-XX) 82 Difference and functional equations (39-XX) 75 Group theory and generalizations (20-XX) 68 General topology (54-XX) 66 Algebraic geometry (14-XX) 60 Nonassociative rings and algebras (17-XX) 57 Sequences, series, summability (40-XX) 52 Manifolds and cell complexes (57-XX) 45 Operations research, mathematical programming (90-XX) 41 Geometry (51-XX) 41 Mechanics of particles and systems (70-XX) 41 Relativity and gravitational theory (83-XX) 31 Classical thermodynamics, heat transfer (80-XX) 30 History and biography (01-XX) 22 General and overarching topics; collections (00-XX) 19 Mathematical logic and foundations (03-XX) 17 Astronomy and astrophysics (85-XX) 16 Algebraic topology (55-XX) 14 Associative rings and algebras (16-XX) 9 \(K\)-theory (19-XX) 8 Commutative algebra (13-XX) 7 Field theory and polynomials (12-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Category theory; homological algebra (18-XX) 3 Mathematics education (97-XX) 1 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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