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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A small boundary for $H^ \infty$ on a strictly pseudoconvex domain
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by Antonella Cupillari PDF
Proc. Amer. Math. Soc. 95 (1985), 396-402 Request permission

Abstract:

Let $n \geqslant 2$ and $D \subset \subset {{\mathbf {C}}^n}$ be a strictly pseudoconvex domain with ${C^k}$ boundary for $k > 2$. There is a closed nowhere dense subset of the maximal ideal space of ${L^\infty }({\text {b}}D)$ which defines a closed boundary for ${H^\infty }(D)$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 396-402
  • MSC: Primary 32E25; Secondary 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0806077-5
  • MathSciNet review: 806077