Weighted norm inequalities and uniform algebras. II
type: Item
instance of: scholarly article
title: Weighted norm inequalities and uniform algebras. II
zbMATH Open document ID: 0702.46040
DOI: 10.1007/BF01190269
author: Takahiko Nakazi
author: Takanori Yamamoto
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: The generalization of the classical conjugation operator can be defined on a general uniform algebra. In the previous paper, one weighted problems for the conjugation operators were studied. In this paper, two weighted problems are considered. Unlike the one weight case, the weights have forms same to the classical case in a uniform algebra which consists of rational functions on a compact finitely connected subset of the complex plane. A generalization is given for a polydisc algebra, too. [For part I see Proc. Am. Math. Soc. 103, No.2, 507-512 (1988; Zbl 0672.46028).]
reviewed by: Takahiko Nakazi
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 30D55
Mathematics Subject Classification ID: 32A35
zbMATH DE Number: 4151136
zbMATH Keywords: weighted norm inequality
zbMATH Keywords: Koosis theorem
zbMATH Keywords: uniform algebra
zbMATH Keywords: one weighted problems for the conjugation operators
zbMATH Keywords: two weighted problems
zbMATH Keywords: polydisc algebra
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01190269
OpenAlex ID: W2100195732
description: scientific article; zbMATH DE number 4151136