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Compact linear combination of composition operators on the weighted Bergman spaces.

Authors :
Kang, Qijian
Wang, Maofa
Source :
Proceedings of the American Mathematical Society; Jan2024, Vol. 152 Issue 1, p329-336, 8p
Publication Year :
2024

Abstract

It is well-known that the research of linear combination of composition operators has become a topic of increasing interest. Recently, Choe, Koo and Wang proved that the compactness of combinations composition operators induced by the symbols satisfying the condition (CNC) implies that each difference is compact on the weighted Bergman space. Motivated by that work, in this paper, we discuss which difference is compact on the weighted Bergman space when the coefficients do not satisfy the condition (CNC). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
173310840
Full Text :
https://doi.org/10.1090/proc/16599