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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Bohr's inequality for uniform algebras

Author(s): Vern I. Paulsen; Dinesh Singh
Journal: Proc. Amer. Math. Soc. 132 (2004), 3577-3579.
MSC (2000): Primary 46J10, 46J15; Secondary 30B10
Posted: July 22, 2004
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Abstract | References | Similar articles | Additional information

Abstract: We prove a uniform algebra analogue of a classical inequality of Bohr's concerning Fourier coefficients of bounded holomorphic functions. The classical inequality follows trivially.


References:

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Additional Information:

Vern I. Paulsen
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
Email: vern@math.uh.edu

Dinesh Singh
Affiliation: Department of Mathematics, University of Delhi, Delhi 110007, India
Email: dinesh_singh@hotmail.com

DOI: 10.1090/S0002-9939-04-07553-7
PII: S 0002-9939(04)07553-7
Keywords: Bohr's inequality, uniform algebras.
Received by editor(s): June 1, 2003
Posted: July 22, 2004
Communicated by: David R. Larson
Copyright of article: Copyright 2004, American Mathematical Society


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