Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-25T14:09:21.825Z Has data issue: false hasContentIssue false
  • English
  • Français

WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Published online by Cambridge University Press:  01 October 2004

Z˘ELJKO C˘UC˘KOVIĆ  and
RUHAN ZHAO
Z˘ELJKO C˘UC˘KOVIĆ
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, USAzcuckovi@math.utoledo.eduruhan.zhao@utoledo.edu
RUHAN ZHAO
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, USAzcuckovi@math.utoledo.eduruhan.zhao@utoledo.edu
Get access

Abstract

Bounded, compact and Schatten class weighted composition operators on the Bergman space are characterized by the use of generalized Berezin transforms. An estimate of the essential norms of weighted composition operators on the Bergman space is given. Most of the results remain true for Hardy spaces and weighted Bergman spaces.

Keywords

47B38 (primary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 499 - 511
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)