4.1 Article

Volterra Type and Weighted Composition Operators on Weighted Fock Spaces

期刊

INTEGRAL EQUATIONS AND OPERATOR THEORY
卷 76, 期 1, 页码 81-94

出版社

SPRINGER BASEL AG
DOI: 10.1007/s00020-013-2050-8

关键词

Fock space; Volterra operator; weighted composition operator; bounded; compact; Berezin transform; Carleson measure

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Bounded and compact product of Volterra type integral and composition operators acting between weighted Fock spaces are described. We also estimate the norms of these operators in terms of Berezin type integral transforms on the complex plan . All our results are valid for weighted composition operators acting on the class of Fock spaces considered under appropriate interpretation of the weights.

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