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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The corona property for bounded analytic functions in some Besov spaces
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by Artur Nicolau
Proc. Amer. Math. Soc. 110 (1990), 135-140
DOI: https://doi.org/10.1090/S0002-9939-1990-1017007-X

Abstract:

In this paper, the corona theorem for the algebra of bounded analytic functions in the unit disc which are in the Besov space ${B_p},1 < p < \infty$, is proved.
References
  • José García-Cuerva and José L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol. 116, North-Holland Publishing Co., Amsterdam, 1985. Notas de Matemática [Mathematical Notes], 104. MR 807149
  • John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
  • Kwang Nan Chow and David Protas, The maximal ideal space of bounded, analytic, Dirichlet finite functions, Arch. Math. (Basel) 31 (1978/79), no. 3, 298–301. MR 521484, DOI 10.1007/BF01226451
  • V. V. Peller and S. V. Khrushchëv, Hankel operators, best approximations and stationary Gaussian processes, Uspekhi Mat. Nauk 37 (1982), no. 1(223), 53–124, 176 (Russian). MR 643765
  • Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
  • N. Th. Varopoulos, BMO functions and the $\overline \partial$-equation, Pacific J. Math. 71 (1977), no. 1, 221–273. MR 508035
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 135-140
  • MSC: Primary 46J15; Secondary 46E35
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1017007-X
  • MathSciNet review: 1017007