Some characterizations of $C(\mathcal {M})$
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- by Christopher J. Bishop
- Proc. Amer. Math. Soc. 124 (1996), 2695-2701
- DOI: https://doi.org/10.1090/S0002-9939-96-03328-X
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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
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Bibliographic Information
- Christopher J. Bishop
- Affiliation: Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794-3651
- MR Author ID: 37290
- Email: bishop@math.sunysb.edu
- 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
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2695-2701
- MSC (1991): Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-96-03328-X
- MathSciNet review: 1326997