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Carleson, Lennart

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Author ID: carleson.lennart Recent zbMATH articles by "Carleson, Lennart"
Published as: Carleson, L.; Carleson, Lennart
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Wolf Prize (1992) · Abel Prize (2006)
Documents Indexed: 70 Publications since 1950, including 5 Books
Biographic References: 12 Publications

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 2,772 times in 2,436 Documents Cited by Year
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
363
1962
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
313
1966
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
293
1993
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
258
1991
An interpolation problem for bounded analytic functions. Zbl 0085.06504
Carleson, Lennart
222
1958
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
198
1967
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
150
1986
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
111
1985
Oscillatory integrals and a multiplier problem for the disc. Zbl 0215.18303
Carleson, Lennart; Sjölin, P.
108
1972
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
87
1952
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
51
1962
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
44
1994
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
40
1960
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
36
1967
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
34
1992
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
27
1964
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
24
1985
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
23
2004
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
23
1950
Representations of continuous functions. Zbl 0086.27702
Carleson, Lennart
21
1957
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
20
1994
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
20
1963
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
19
1980
Selected problems on exceptional sets. Translation from the English by V.P.Havin. Edited by V.G.Maz’ya. Zbl 0224.31001
Carleson, Lennart
19
1971
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
19
1952
Best uniform approximation by analytic functions. Zbl 0248.30034
Carleson, Lennart; Jacobs, Sigvard
18
1972
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
17
1989
Two remarks on \(H^1\) and BMO. Zbl 0357.46058
Carleson, Lennart
17
1976
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
16
1961
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
15
2001
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
15
1951
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
13
2002
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
13
1980
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
12
1975
On the distortion of sets on a Jordan curve under conformal mapping. Zbl 0273.30014
Carleson, Lennart
11
1973
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
10
1983
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
10
1951
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
9
1974
On infinite differential equations with constant coefficients. I. Zbl 0050.31101
Carleson, Lennart
9
1953
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
9
1952
The Corona theorem. Zbl 0195.42104
Carleson, Lennart
8
1970
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
6
1961
The analytic continuation of interpolatory functions. Zbl 0126.28803
Akutowicz, E. J.; Carleson, L.
6
1960
Two remarks on the basic theorems of information theory. Zbl 0088.10603
Carleson, Lennart
4
1958
On the connection between Hausdorff measures and capacity. Zbl 0078.09303
Carleson, Lennart
4
1958
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
3
1997
A proof of an inequality of Carleman. Zbl 0057.04802
Carleson, Lennart
3
1954
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
2
1991
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
2
1983
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
2
1981
Metric projections of \(L^p\) on \(H^p\). Zbl 0269.42006
Carleson, Lennart
2
1973
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
2
1963
Lars Ahlfors and the Painlevé problem. Zbl 0959.30013
Carleson, Lennart
1
2000
An example concerning analytic functions with finite Dirichlet integrals. Zbl 0449.30024
Carleson, Lennart
1
1979
A remark on Denjoy’s inequality and Herman’s theorem. Zbl 0446.58014
Carleson, Lennart
1
1979
Asymptotic paths for subharmonic functions in \(\mathbb R^n\). Zbl 0352.31004
Carleson, Lennart
1
1976
Maximal functions and capacities. Zbl 0139.28701
Carleson, Lennart
1
1965
Hölder continuity of Green’s functions. Zbl 1076.30026
Carleson, Lennart; Totik, Vilmos
23
2004
Laplacian path models. Zbl 1040.30011
Carleson, Lennart; Makarov, N.
13
2002
Aggregation in the plane and Loewner’s equation. Zbl 1042.82039
Carleson, Lennart; Makarov, N.
15
2001
Lars Ahlfors and the Painlevé problem. Zbl 0959.30013
Carleson, Lennart
1
2000
Wiener’s Tauberian theorem. Zbl 0881.42001
Carleson, Lennart
3
1997
Julia and John. Zbl 0804.30023
Carleson, Lennart; Jones, Peter W.; Yoccoz, Jean-Christophe
44
1994
Some results connected with Brennan’s conjecture. Zbl 0805.30018
Carleson, Lennart; Makarov, Nikolai G.
20
1994
Complex dynamics. Zbl 0782.30022
Carleson, Lennart; Gamelin, Theodore W.
293
1993
On coefficient problems for univalent functions and conformal dimension. Zbl 0765.30005
Carleson, Lennart; Jones, Peter W.
34
1992
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
258
1991
Stochastic models of some dynamical systems. Zbl 0777.58023
Carleson, Lennart
2
1991
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
17
1989
On the existence of an external function for an inequality of J. Moser. Zbl 0619.58013
Carleson, Lennart; Chang, Sun-Yung A.
150
1986
On iterations of \(1-\alpha x^2\) on \((-1,1)\). Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
111
1985
On the support of harmonic measure for sets of Cantor type. Zbl 0593.31004
Carleson, Lennart
24
1985
On \(H^\infty\) in multiply connected domains. Zbl 0527.46048
Carleson, Lennart
10
1983
Selected problems on exceptional sets. Reprint. Orig. publ. 1967 by Van Nostrand, Princeton, N.J. Zbl 0505.00034
Carleson, Lennart
2
1983
Estimates of harmonic measures. Zbl 0521.30026
Carleson, Lennart
6
1982
BMO - 10 years’ development. Zbl 0495.46021
Carleson, Lennart
2
1981
Some analytic problems related to statistical mechanics. Zbl 0425.60091
Carleson, Lennart
19
1980
An explicit unconditional basis in \(H^1\). Zbl 0495.46020
Carleson, Lennart
13
1980
An example concerning analytic functions with finite Dirichlet integrals. Zbl 0449.30024
Carleson, Lennart
1
1979
A remark on Denjoy’s inequality and Herman’s theorem. Zbl 0446.58014
Carleson, Lennart
1
1979
Two remarks on \(H^1\) and BMO. Zbl 0357.46058
Carleson, Lennart
17
1976
Asymptotic paths for subharmonic functions in \(\mathbb R^n\). Zbl 0352.31004
Carleson, Lennart
1
1976
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
12
1975
The extension problem for quasiconformal mappings. Zbl 0304.30016
Carleson, Lennart
9
1974
On the distortion of sets on a Jordan curve under conformal mapping. Zbl 0273.30014
Carleson, Lennart
11
1973
Metric projections of \(L^p\) on \(H^p\). Zbl 0269.42006
Carleson, Lennart
2
1973
Oscillatory integrals and a multiplier problem for the disc. Zbl 0215.18303
Carleson, Lennart; Sjölin, P.
108
1972
Best uniform approximation by analytic functions. Zbl 0248.30034
Carleson, Lennart; Jacobs, Sigvard
18
1972
Selected problems on exceptional sets. Translation from the English by V.P.Havin. Edited by V.G.Maz’ya. Zbl 0224.31001
Carleson, Lennart
19
1971
The Corona theorem. Zbl 0195.42104
Carleson, Lennart
8
1970
Selected problems on exceptional sets. Zbl 0189.10903
Carleson, Lennart
198
1967
On mappings, conformal at the boundary. Zbl 0186.13701
Carleson, Lennart
36
1967
On convergence and growth of partial sums of Fourier series. Zbl 0144.06402
Carleson, Lennart
313
1966
Maximal functions and capacities. Zbl 0139.28701
Carleson, Lennart
1
1965
Mergelyan’s theorem on uniform polynomial approximation. Zbl 0163.08601
Carleson, Lennart
27
1964
Removable singularities of continuous harmonic functions in \(R^ m\). Zbl 0141.30203
Carleson, Lennart
20
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0192.16801
Carleson, Lennart
2
1963
Interpolations by bounded analytic functions and the corona problem. Zbl 0112.29702
Carleson, Lennart
363
1962
On the existence of boundary values for harmonic functions in several variables. Zbl 0107.08402
Carleson, Lennart
51
1962
On universal moment problems. Zbl 0114.05903
Carleson, Lennart
16
1961
A remark on Picard’s theorem. Zbl 0133.03601
Carleson, Lennart
6
1961
A representation formula for the Dirichlet integral. Zbl 0090.28603
Carleson, Lennart
40
1960
The analytic continuation of interpolatory functions. Zbl 0126.28803
Akutowicz, E. J.; Carleson, L.
6
1960
An interpolation problem for bounded analytic functions. Zbl 0085.06504
Carleson, Lennart
222
1958
Two remarks on the basic theorems of information theory. Zbl 0088.10603
Carleson, Lennart
4
1958
On the connection between Hausdorff measures and capacity. Zbl 0078.09303
Carleson, Lennart
4
1958
Representations of continuous functions. Zbl 0086.27702
Carleson, Lennart
21
1957
A proof of an inequality of Carleman. Zbl 0057.04802
Carleson, Lennart
3
1954
On infinite differential equations with constant coefficients. I. Zbl 0050.31101
Carleson, Lennart
9
1953
Sets of uniqueness for functions regular in the unit circle. Zbl 0046.30005
Carleson, Lennart
87
1952
On the zeros of functions with bounded Dirichlet integrals. Zbl 0047.07601
Carleson, Lennart
19
1952
On bounded analytic functions and closure problems. Zbl 0047.35301
Carleson, Lennart
9
1952
On Bernstein’s approximation problem. Zbl 0044.07002
Carleson, Lennart
15
1951
On nullsets for continuous analytic functions. Zbl 0042.30902
Carleson, Lennart
10
1951
On a class of meromorphic functions and its associated exceptional sets. Zbl 0036.04701
Carleson, Lennart
23
1950
all top 5

Cited by 2,269 Authors

26 Lu, Guozhen
19 Yang, Yunyan
17 Young, Lai-Sang
15 Lacey, Michael T.
15 Nicolau, Artur
14 Brudnyi, Alexander
14 El-Fallah, Omar
14 Izuchi, Keiji
14 Kellay, Karim
14 Nguyễn Văn Hoàng
14 Weisz, Ferenc
13 Gushchin, Anatoliĭ Konstantinovich
13 Prestini, Elena
12 Carleson, Lennart
12 Do Ó, João M. Bezerra
12 Lam, Nguyen
12 Luzzatto, Stefano
12 Peláez, José Ángel
12 Ransford, Thomas J.
12 Seip, Kristian
12 Wick, Brett D.
11 Girela, Daniel
11 Jones, Peter Wilcox
11 Lee, Sanghyuk
11 Levin, Genadi M.
11 Mortini, Raymond
11 Rättyä, Jouni
11 Wang, Qiudong
10 Bishop, Christopher James
10 Lyubich, Mikhail Yur’evich
10 Sjölin, Per
9 Avkhadiev, Farit Gabidinovich
9 Bloshanskii, Igor L.
9 Hedenmalm, Håkan
9 Martell, José María (Chema)
9 Pau, Jordi
9 Rivera-Letelier, Juan
9 Sogge, Christopher D.
9 Takahasi, Hiroki
9 Tao, Terence
9 Trent, Tavan T.
9 Tugores, Francesc Martorell
8 Bourgain, Jean
8 Cao, Yongluo
8 Comerford, Mark
8 Dyakonov, Konstantin M.
8 Gonchenko, Sergey V.
8 González, María José
8 Gorkin, Pamela B.
8 Grafakos, Loukas
8 Hofmann, Steve
8 Kenig, Carlos Eduardo
8 Lou, Zengjian
8 Przytycki, Feliks
8 Ricci, Paolo Emilio
8 Ruf, Bernhard
8 Sola, Alan A.
8 Sundberg, Carl-Erik W.
7 Alves, José Ferreira
7 Amar, Eric
7 Brennan, James E.
7 Fagella, Núria
7 Izuchi, Yuko
7 Jarque, Xavier
7 Makarov, Nikolai Georgievich
7 Melbourne, Ian
7 Nyström, Kaj
7 Richter, Stefan
7 Rodríguez-Piazza, Luis
7 Rohde, Steffen
7 Sibony, Nessim
7 Soria, Fernando
7 Thiele, Christoph Martin
7 Treil, Sergei
7 Viana, Marcelo
6 Adams, David Randolph
6 Barański, Krzysztof
6 Berger, Pierre
6 Bergweiler, Walter
6 Białas-Cież, Leokadia
6 Christ, Michael
6 Colonna, Flavia
6 Díaz, Lorenzo Justiniano
6 Doubtsov, Evgueni Sergeevich
6 Fornæss, John Erik
6 Gutlyanskiĭ, Vladimir Ya.
6 Khavin, Viktor Petrovich
6 Lu, Shanzhen
6 Oksasoglu, Ali
6 Queffélec, Hervé
6 Rodríguez, José Angel
6 Seeger, Andreas
6 Shen, Weixiao
6 Shields, Allen L.
6 Shilnikov, Leonid Pavlovich
6 Smirnov, Stanislav Konstantinovich
6 Świątek, Grzegorz
6 Taylor, Bert Alan
6 Tucker, Warwick
6 Turaev, Dmitry V.
...and 2,169 more Authors
all top 5

Cited in 312 Serials

128 Journal of Functional Analysis
126 Transactions of the American Mathematical Society
107 Proceedings of the American Mathematical Society
80 Journal of Mathematical Analysis and Applications
70 Arkiv för Matematik
67 Journal d’Analyse Mathématique
54 Advances in Mathematics
49 Mathematische Annalen
47 Communications in Mathematical Physics
42 Ergodic Theory and Dynamical Systems
41 Annales de l’Institut Fourier
41 Journal of Soviet Mathematics
37 Mathematische Zeitschrift
35 Mathematical Notes
34 Integral Equations and Operator Theory
34 Journal of Approximation Theory
34 The Journal of Geometric Analysis
31 Inventiones Mathematicae
30 Acta Mathematica
29 Computational Methods and Function Theory
28 Duke Mathematical Journal
28 The Journal of Fourier Analysis and Applications
26 Acta Mathematica Sinica. English Series
23 Journal of Differential Equations
23 Bulletin of the American Mathematical Society
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Journal of Mathematical Sciences (New York)
20 Chaos, Solitons and Fractals
20 Potential Analysis
20 Complex Analysis and Operator Theory
18 Israel Journal of Mathematics
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Revista Matemática Iberoamericana
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Calculus of Variations and Partial Differential Equations
17 Archiv der Mathematik
17 Siberian Mathematical Journal
17 Complex Variables and Elliptic Equations
16 Analysis Mathematica
16 Tohoku Mathematical Journal. Second Series
16 St. Petersburg Mathematical Journal
15 Journal of Statistical Physics
15 Physica D
15 Bulletin of the American Mathematical Society. New Series
14 Journal of the American Mathematical Society
14 Conformal Geometry and Dynamics
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Proceedings of the Steklov Institute of Mathematics
12 Ukrainian Mathematical Journal
12 Science in China. Series A
12 Journal of the European Mathematical Society (JEMS)
11 Topology and its Applications
11 Indagationes Mathematicae. New Series
11 Chaos
10 Mathematische Nachrichten
10 Michigan Mathematical Journal
10 Constructive Approximation
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Discrete and Continuous Dynamical Systems
9 Rocky Mountain Journal of Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Geometric and Functional Analysis. GAFA
8 Monatshefte für Mathematik
8 Nagoya Mathematical Journal
8 Acta Mathematica Hungarica
8 Journal of Difference Equations and Applications
8 Doklady Mathematics
8 Annals of Mathematics. Second Series
8 Dynamical Systems
8 Stochastics and Dynamics
8 Science China. Mathematics
7 Bulletin de la Société Mathématique de France
7 Collectanea Mathematica
7 Probability Theory and Related Fields
7 Linear Algebra and its Applications
7 Bulletin des Sciences Mathématiques
7 Communications on Pure and Applied Analysis
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 The Annals of Probability
6 Functional Analysis and its Applications
6 Publications Mathématiques
6 Kodai Mathematical Journal
6 Experimental Mathematics
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Frontiers of Mathematics in China
6 Analysis and Mathematical Physics
6 Nonlinear Analysis. Theory, Methods & Applications
5 Bulletin of the Australian Mathematical Society
5 Lithuanian Mathematical Journal
5 Nonlinearity
5 Applied Mathematics and Computation
5 Czechoslovak Mathematical Journal
5 Journal of Computational and Applied Mathematics
5 Memoirs of the American Mathematical Society
5 Publicacions Matemàtiques
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Journal of Dynamics and Differential Equations
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
5 Sbornik: Mathematics
...and 212 more Serials
all top 5

Cited in 55 Fields

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

Citations by Year

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