Weighted composition operators on H 2 and applications

Valentin Matache

doi:10.1007/s11785-007-0025-y

Weighted composition operators on H ² and applications

Valentin Matache

Mathematics

Research output: Contribution to journal › Article

31 Scopus citations

Abstract

Operators on function spaces acting by composition to the right with a fixed selfmap φ of some set are called composition operators of symbol φ. A weighted composition operator is an operator equal to a composition operator followed by a multiplication operator. We summarize the basic properties of bounded and compact weighted composition operators on the Hilbert Hardy space on the open unit disk and use them to study composition operators on Hardy-Smirnov spaces.

Original language	English (US)
Pages (from-to)	169-197
Number of pages	29
Journal	Complex Analysis and Operator Theory
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/s11785-007-0025-y
State	Published - Mar 1 2008

Keywords

Weighted composition operators

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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Matache, V. (2008). Weighted composition operators on H ² and applications. Complex Analysis and Operator Theory, 2(1), 169-197. https://doi.org/10.1007/s11785-007-0025-y

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