Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball

Citation
Zhou, Ze Hua et Liang, Yu Xia, Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball, Acta mathematica Sinica. English series (Print) , 29(3), 2013, pp. 547-556
ISSN journal
14398516
Volume
29
Issue
3
Year of publication
2013
Pages
547 - 556
Database
ACNP
SICI code
Abstract
In this paper, we characterize the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the standard mixed-norm space or the mixed-norm space with normal weight on the unit ball and estimate the essential norms of the weighted composition operators.