Article
Weighted Composition Operators on H² and Applications
Complex Analysis and Operator Theory
Document Type
Article
Publication Date
1-1-2008
Disciplines
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.
Citation Information
Valentin Matache. "Weighted Composition Operators on H² and Applications" Complex Analysis and Operator Theory Vol. 2 Iss. 1 (2008) p. 169 - 197 Available at: http://works.bepress.com/valentin-matache/19/
© Birkhaeuser 2007
https://doi.org/10.1007/s11785-007-0025-y