The Libera operator on Dirichlet spaces

Document Type: Research Paper

Authors

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.

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Main Subjects



Volume 41, Issue 6
November and December 2015
Pages 1511-1517
  • Receive Date: 01 March 2014
  • Revise Date: 29 August 2014
  • Accept Date: 02 October 2014