The corona theorem for domains whose boundary lies in a smooth curve

Moore, Charles N.

doi:10.1090/S0002-9939-1987-0884464-9

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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The corona theorem for domains whose boundary lies in a smooth curve
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by Charles N. Moore PDF

Proc. Amer. Math. Soc. 100 (1987), 266-270 Request permission

Abstract:

We prove the corona theorem for domains whose boundary lies in a ${C^{1 + \alpha }}$ curve.

References

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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
John B. Garnett and Peter W. Jones, The corona theorem for Denjoy domains, Acta Math. 155 (1985), no. 1-2, 27–40. MR 793236, DOI 10.1007/BF02392536