Basic Properties of generated algebra by weighted composition operators on different ‎$‎L‎^{p}‎$ of atomic spaces

Document Type : Original Paper

Authors

1 Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

Abstract

‎In this paper‎, we continue the study of finite sum of weigted composition operators betweem different ‎‎L‎^{p}‎-spaces. ‎indeed,‎ ‎we first obtain some necessary and sufficient conditions for the compactness of finite sum of weighted composition operators between distinct L^p of atomic measure space ‎. ‎We also estimate the essential norms of these operators‎.

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Volume 12, Issue 1
April 2022
Pages 34-44
  • Receive Date: 01 May 2021
  • Revise Date: 18 September 2021
  • Accept Date: 17 February 2022
  • First Publish Date: 22 February 2022