Norms of Hankel operators and uniform algebras

Nakazi, Takahiko

doi:10.1090/S0002-9947-1987-0869222-8

Norms of Hankel operators and uniform algebras
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by Takahiko Nakazi PDF

Trans. Amer. Math. Soc. 299 (1987), 573-580 Request permission

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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