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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Norms of Hankel operators and uniform algebras


Author: Takahiko Nakazi
Journal: Trans. Amer. Math. Soc. 299 (1987), 573-580
MSC: Primary 47B35; Secondary 46J15
DOI: https://doi.org/10.1090/S0002-9947-1987-0869222-8
MathSciNet review: 869222
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Abstract: Two generalizations of the classical Hankel operators are defined on an abstract Hardy space that is associated with a uniform algebra. In this paper the norms of Hankel operators are studied. This has applications to weighted norm inequalities for conjugation operators, and invertible Topelitz operators. 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: https://doi.org/10.1090/S0002-9947-1987-0869222-8
Keywords: Hankel operators, weighted norm inequalities, Toeplitz operators, uniform algebras
Article copyright: © Copyright 1987 American Mathematical Society