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
- T. W. Gamelin, Localization of the corona problem, Pacific J. Math. 34 (1970), 73–81. MR 276742
- 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
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 266-270
- MSC: Primary 30D50; Secondary 30D55, 30E20, 30H05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884464-9
- MathSciNet review: 884464