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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Le dual des fonctions holomorphes intégrables sur un domaine strictement pseudo-convexe
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by Bernard Coupet PDF
Proc. Amer. Math. Soc. 102 (1988), 493-501 Request permission

Abstract:

We prove that on a strictly pseudoconvex domain with ${C^4}$ boundary in ${C^n}$, the dual of the Bergman space ${B^1}$ is Bloch space.
References
  • David E. Barrett, Irregularity of the Bergman projection on a smooth bounded domain in $\textbf {C}^{2}$, Ann. of Math. (2) 119 (1984), no. 2, 431–436. MR 740899, DOI 10.2307/2007045
  • L. Boutet de Monvel and J. Sjöstrand, Sur la singularité des noyaux de Bergman et de Szegő, Journées: Équations aux Dérivées Partielles de Rennes (1975), Astérisque, No. 34-35, Soc. Math. France, Paris, 1976, pp. 123–164 (French). MR 0590106
  • P. Kranz, Optimal Lipschitz and ${L^p}$ regularity for the equations $\bar \partial U = f$ on strongly pseudoconvex domains, Math. Ann. 219 (1975), 233-260.
  • Ewa Ligocka, The Hölder continuity of the Bergman projection and proper holomorphic mappings, Studia Math. 80 (1984), no. 2, 89–107. MR 781328, DOI 10.4064/sm-80-2-89-107
  • Steven R. Bell, Biholomorphic mappings and the $\bar \partial$-problem, Ann. of Math. (2) 114 (1981), no. 1, 103–113. MR 625347, DOI 10.2307/1971379
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 493-501
  • MSC: Primary 32H10; Secondary 46E15, 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0928967-8
  • MathSciNet review: 928967