Some characterizations of 𝐶(ℳ)-Reference-Cited by-同舟云学术

Some characterizations of 𝐶(ℳ)

Published:1996 Issue:9 Volume:124 Page:2695-2701
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bishop Christopher

Abstract

We show that a function f f on the unit disk extends continuously to M \mathcal M , the maximal ideal space of H ∞ ( D ) H^\infty (\mathbb D) iff it is uniformly continuous (in the hyperbolic metric) and close to constant on the complementary components of some Carleson contour.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-09/S0002-9939-96-03328-X/S0002-9939-96-03328-X.pdf

Reference5 articles.

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5. Nontangential limits and the Shilov boundary of the algebra 𝐻^{∞};Ivanov, O. V.;Dokl. Akad. Nauk Ukrain. SSR,1991

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