Weighted norm inequalities and uniform algebras

DOI IR IR (HANDLE) Open Access

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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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