Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Some characterizations of $C(\mathcal M)$

Author: Christopher J. Bishop
Journal: Proc. Amer. Math. Soc. 124 (1996), 2695-2701
MSC (1991): Primary 46J10
MathSciNet review: 1326997
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46J10

Retrieve articles in all journals with MSC (1991): 46J10

Additional Information

Christopher J. Bishop
Affiliation: Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794-3651

PII: S 0002-9939(96)03328-X
Keywords: Harmonic functions, holomorphic functions, function algebras, maximal ideal space, Carleson measures, uniform approximation
Received by editor(s): November 23, 1994
Received by editor(s) in revised form: February 24, 1995
Additional Notes: The author is partially supported by NSF Grant DMS 92-04092 and an Alfred P. Sloan research fellowship.
Communicated by: T. W. Gamelin
Article copyright: © Copyright 1996 American Mathematical Society