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

 

Weighted norm inequalities and uniform algebras


Author: Takahiko Nakazi
Journal: Proc. Amer. Math. Soc. 103 (1988), 507-512
MSC: Primary 46J15; Secondary 30D55, 42B30
MathSciNet review: 943075
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Abstract: Generalizations of the classical conjugation operator can be defined on a general uniform algebra. In this paper the $ {L^2}$ weighted problems for the conjugation operators are considered and it is shown that the weights have forms similar to the classical case. The results in this paper have applications to concrete uniform algebras, for example, a polydisc algebra and a uniform algebra which consists of rational functions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0943075-8
PII: S 0002-9939(1988)0943075-8
Article copyright: © Copyright 1988 American Mathematical Society