Bounded and compact Toeplitz operators on the weighted Bergman space over the bidisk

Authors
Diao, Si Bo Yu, Tao
Citation
Diao, Si Bo et Yu, Tao, Bounded and compact Toeplitz operators on the weighted Bergman space over the bidisk, Acta mathematica Sinica. English series (Print) , 30(1), 2014, pp. 151-162
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
1
Year of publication
2014
Pages
151 - 162
Database
ACNP
SICI code
Abstract
For . > .1, let d. . denote the weighted Lebesgue measure on the bidisk and . a complex measure satisfying some Carleson-type conditions. In this paper, we show a sufficient and necessary condition for the Toeplitz operator T... to be bounded or compact on weighted Bergman space L 1 a (d. . ).