Some characterizations of C(M)

Christopher J. Bishop

doi:10.1090/s0002-9939-96-03328-x

Some characterizations of C(M)

Christopher J. Bishop

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	2695-2701
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	9
DOIs	https://doi.org/10.1090/s0002-9939-96-03328-x
State	Published - 1996

Keywords

Carleson measures
Function algebras
Harmonic functions
Holomorphic functions
Maximal ideal space
Uniform approximation

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10.1090/s0002-9939-96-03328-x

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title = "Some characterizations of C(M)",

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

keywords = "Carleson measures, Function algebras, Harmonic functions, Holomorphic functions, Maximal ideal space, Uniform approximation",

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

KW - Carleson measures

KW - Function algebras

KW - Harmonic functions

KW - Holomorphic functions

KW - Maximal ideal space

KW - Uniform approximation

UR - https://www.scopus.com/pages/publications/21444451903

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DO - 10.1090/s0002-9939-96-03328-x

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AN - SCOPUS:21444451903

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EP - 2701

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

Some characterizations of C(M)

Abstract

Keywords

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