Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

The Libera operator on Dirichlet spaces

Document Type : Research Paper

Authors
G. Bao 1
J. Yang 2
1 Department of‎ ‎Mathematics, Shantou University, Shantou 515063‎, ‎China
2 Department of‎ ‎Mathematics, Shanghai Maritime University, Shanghai 201306‎, ‎China
Abstract
In this paper, we consider the boundedness of the Libera operator on Dirichlet spaces in terms of the Schur test. Moreover, we get its point spectrum and norm.
Keywords
Libera operator
Dirichlet spaces
point spectrum
norm
Subjects
Bulletin of the Iranian Mathematical Society
Volume 41, Issue 6 - Serial Number 6
December 2015
Pages 1511-1517

  • Receive Date 01 March 2014
  • Revise Date 29 August 2014
  • Accept Date 02 October 2014