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## Murai, Takafumi

Compute Distance To:
 Author ID: murai.takafumi Published as: Murai, T.; Murai, Takafumi
 Documents Indexed: 41 Publications since 1974, including 1 Book Reviewing Activity: 30 Reviews

#### Co-Authors

 37 single-authored 1 Coifman, Ronald Raphaël 1 Jones, Peter Wilcox 1 Uchiyama, Akihito
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#### Serials

 8 Nagoya Mathematical Journal 4 Kodai Mathematical Journal 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Studia Mathematica 1 Advances in Mathematics 1 Hiroshima Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Analysis 1 Sūgaku 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Lecture Notes in Mathematics 1 Translations. Series 2. American Mathematical Society
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#### Fields

 24 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 4 Potential theory (31-XX) 3 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 89 times in 73 Documents Cited by Year
A real variable method for the Cauchy transform, and analytic capacity. Zbl 0645.30016
Murai, Takafumi
1988
Positive analytic capacity but zero Buffon needle probability. Zbl 0653.30016
Jones, Peter W.; Murai, Takafumi
1988
The central limit theorem for trigonometric series. Zbl 0518.60034
Murai, Takafumi
1982
Boundedness of singular integral operators of Calderón type. VI. Zbl 0657.42014
Murai, Takafumi
1986
Good $$\lambda$$ inequalities for the area integral and the nontangential maximal function. Zbl 0611.42010
Murai, Takafumi; Uchiyama, Akihito
1985
The deficiency of entire functions with Fejer gaps. Zbl 0489.30028
Murai, Takafumi
1983
Commutators on the potential-theoretic energy spaces. Zbl 0679.42009
Coifman, Ronald R.; Murai, Takafumi
1988
Construction of $$H^ 1$$ functions concerning the estimate of analytic capacity. Zbl 0634.30025
Murai, Takafumi
1987
The boundary behaviour of Hadamard lacunary series. Zbl 0516.30004
Murai, Takafumi
1983
The value-distribution of lacunary series and a conjecture of Paley. Zbl 0437.30021
Murai, Takafumi
1981
The power 3/2 appearing in the estimate of analytic capacity. Zbl 0726.30020
Murai, Takafumi
1990
Gap series. Zbl 0691.30004
Murai, Takafumi
1989
Boundedness of singular integral operators of Calderón type. V. Zbl 0608.42010
Murai, Takafumi
1986
The value-distribution of random Taylor series in the unit disk. Zbl 0489.30005
Murai, Takafumi
1981
Lacunary series and ranges of non-synthesis. Zbl 0514.42017
Murai, Takafumi
1982
Sur la distribution des valeurs des séries lacunaires. Zbl 0449.30017
Murai, Takafumi
1980
Une conjecture de Paley sur les séries de Taylor lacunaires. Zbl 0443.30001
Murai, Takafumi
1980
Analytic capacity (a theory of the Szegö kernel function). Zbl 0808.31002
Murai, Takafumi
1994
Analytic capacity for arcs. Zbl 0742.30024
Murai, Takafumi
1991
Analytic capacity for two segments. Zbl 0738.30020
Murai, Takafumi
1991
A formula for analytic separation capacity. Zbl 0716.30016
Murai, Takafumi
1990
Boundedness of singular integral operators of Calderón type. IV. Zbl 0562.42008
Murai, Takafumi
1985
Boundedness of singular integral operators of Calderón type. III. Zbl 0542.42010
Murai, Takafumi
1984
Boundedness of singular integral operators of Calderón type. Zbl 0542.42008
Murai, Takafumi
1983
The deficiency of a gap series. Zbl 0533.30028
Murai, Takafumi
1982
Une remarque sur la distribution des valeurs des séries de Taylor aléatoires. Zbl 0402.30033
Murai, Takafumi
1978
On the behaviour of functions with finite weighted Dirichlet integral near the boundary. Zbl 0293.31012
Murai, Takafumi
1974
Analytic capacity (a theory of the Szegö kernel function). Zbl 0808.31002
Murai, Takafumi
1994
Analytic capacity for arcs. Zbl 0742.30024
Murai, Takafumi
1991
Analytic capacity for two segments. Zbl 0738.30020
Murai, Takafumi
1991
The power 3/2 appearing in the estimate of analytic capacity. Zbl 0726.30020
Murai, Takafumi
1990
A formula for analytic separation capacity. Zbl 0716.30016
Murai, Takafumi
1990
Gap series. Zbl 0691.30004
Murai, Takafumi
1989
A real variable method for the Cauchy transform, and analytic capacity. Zbl 0645.30016
Murai, Takafumi
1988
Positive analytic capacity but zero Buffon needle probability. Zbl 0653.30016
Jones, Peter W.; Murai, Takafumi
1988
Commutators on the potential-theoretic energy spaces. Zbl 0679.42009
Coifman, Ronald R.; Murai, Takafumi
1988
Construction of $$H^ 1$$ functions concerning the estimate of analytic capacity. Zbl 0634.30025
Murai, Takafumi
1987
Boundedness of singular integral operators of Calderón type. VI. Zbl 0657.42014
Murai, Takafumi
1986
Boundedness of singular integral operators of Calderón type. V. Zbl 0608.42010
Murai, Takafumi
1986
Good $$\lambda$$ inequalities for the area integral and the nontangential maximal function. Zbl 0611.42010
Murai, Takafumi; Uchiyama, Akihito
1985
Boundedness of singular integral operators of Calderón type. IV. Zbl 0562.42008
Murai, Takafumi
1985
Boundedness of singular integral operators of Calderón type. III. Zbl 0542.42010
Murai, Takafumi
1984
The deficiency of entire functions with Fejer gaps. Zbl 0489.30028
Murai, Takafumi
1983
The boundary behaviour of Hadamard lacunary series. Zbl 0516.30004
Murai, Takafumi
1983
Boundedness of singular integral operators of Calderón type. Zbl 0542.42008
Murai, Takafumi
1983
The central limit theorem for trigonometric series. Zbl 0518.60034
Murai, Takafumi
1982
Lacunary series and ranges of non-synthesis. Zbl 0514.42017
Murai, Takafumi
1982
The deficiency of a gap series. Zbl 0533.30028
Murai, Takafumi
1982
The value-distribution of lacunary series and a conjecture of Paley. Zbl 0437.30021
Murai, Takafumi
1981
The value-distribution of random Taylor series in the unit disk. Zbl 0489.30005
Murai, Takafumi
1981
Sur la distribution des valeurs des séries lacunaires. Zbl 0449.30017
Murai, Takafumi
1980
Une conjecture de Paley sur les séries de Taylor lacunaires. Zbl 0443.30001
Murai, Takafumi
1980
Une remarque sur la distribution des valeurs des séries de Taylor aléatoires. Zbl 0402.30033
Murai, Takafumi
1978
On the behaviour of functions with finite weighted Dirichlet integral near the boundary. Zbl 0293.31012
Murai, Takafumi
1974
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#### Cited by 83 Authors

 10 Murai, Takafumi 4 Matioc, Bogdan-Vasile 4 Nazarov, Fedor L. 4 Tolsa, Xavier 3 Volberg, Alexander Lvovich 3 Younsi, Malik 2 Bañuelos, Rodrigo 2 Berkes, István 2 David, Guy 2 Klemes, Ivo 2 Mattila, Pertti 2 Moore, Charles Nelson 2 Pommerenke, Christian 2 Ransford, Thomas J. 2 Treil, Sergei 2 Wu, Zhijian 1 Ai, Wenhui 1 Aistleitner, Christoph 1 Andrusyak, I. V. 1 Arai, Hitoshi 1 Bergweiler, Walter 1 Besse, Nicolas 1 Bobkov, Sergey Germanovich 1 Chang, Alan 1 Chen, Yanping 1 Christ, Michael 1 Ding, Yong 1 Donaire, Juan Jesús 1 Duong, Xuan Thinh 1 Eiderman, Vladimir Ya. 1 El Abdalaoui, El Houcein 1 Filevych, Petro V. 1 Fukuyama, Katusi 1 Gaisin, A. M. 1 García-Cuerva, José L. 1 Girela, Daniel 1 Götze, Friedrich W. 1 Grafakos, Loukas 1 Hayman, Walter Kurt 1 Hitczenko, Paweł 1 Holmes, Irina 1 Jakob, Matthias 1 Jensen, Gerd 1 Jones, Peter Wilcox 1 Journé, Jean-Lin 1 Joyce, Helen E. 1 Kahane, Jean-Pierre 1 Khavinson, Semën Yakovlevich 1 Koh, Ngin-Tee 1 Lacey, Michael T. 1 Laine, Ilpo 1 Le, Triet M. 1 Lerner, Andrei K. 1 Liu, Yang 1 Lu, Ziqun 1 Martell, José María (Chema) 1 Mateu, Joan 1 Matioc, Anca-Voichita 1 Melnikov, Mark S. 1 Mémoli, Facundo 1 Mizuta, Yoshihiro 1 Mörters, Peter 1 Nishry, Alon 1 Offord, Albert Cyril 1 Ohashi, Kazumasa 1 Peres, Yuval 1 Ramirez, Jorge M. 1 Romero, Nadia 1 Rossi, John F. 1 Semmes, Stephen W. 1 Sodin, Mikhail 1 Steele, J. Michael 1 Vallois, Pierre 1 Verdera, Joan 1 von der Mosel, Heiko 1 Vukotić, Dragan 1 Wang, Shaoming 1 Wang, Yuefei 1 Wick, Brett D. 1 Wu, Pengcheng 1 Yan, Lixin 1 Yang, Cunji 1 Youssfi, Abdellah
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#### Cited in 43 Serials

 6 Transactions of the American Mathematical Society 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 3 Acta Mathematica 3 Annales de l’Institut Fourier 3 Nagoya Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Probability Theory and Related Fields 3 St. Petersburg Mathematical Journal 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Advances in Mathematics 2 Kodai Mathematical Journal 2 The Journal of Fourier Analysis and Applications 2 Computational Methods and Function Theory 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ergodic Theory and Dynamical Systems 1 Journal of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Applied and Computational Harmonic Analysis 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Stochastics and Dynamics 1 Frontiers of Mathematics in China 1 Analysis & PDE 1 Carpathian Mathematical Publications
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#### Cited in 24 Fields

 36 Functions of a complex variable (30-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 11 Potential theory (31-XX) 11 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)