Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the compactness of some classes of bounded operators on the Bergman space with variable exponent.
We show that via extrapolation, some results on boundedness of the Toeplitz operators with general L1 symbols and compactness of bounded operators on the Bergman spaces with constant exponents can readily be extended to the variable exponent setting.
In particular, if S is a finite sum of finite products of Toeplitz operators with symbols from class BT, then S is compact if and only if the Berezin transform of S vanishes on the boundary of the unit disc.
American Psychological Association (APA)
Agbor, Dieudonne. 2018. Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1173432
Modern Language Association (MLA)
Agbor, Dieudonne. Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1173432
American Medical Association (AMA)
Agbor, Dieudonne. Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1173432
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173432