Open Access
Translator Disclaimer
2008 Weighted Composition Operators on Some Weighted Spaces in the Unit Ball
Xiaohong Fu, Xiangling Zhu
Abstr. Appl. Anal. 2008: 1-8 (2008). DOI: 10.1155/2008/605807

Abstract

Let B n be the unit ball of C n , H ( B n ) the space of all holomorphic functions in B n . Let u H ( B n ) and α be a holomorphic self-map of B n . For f H ( B n ) , the weigthed composition operator u C α is defined by ( u C α f ) ( z ) = u ( z ) f ( α ( z ) ) , z B n . The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper.

Citation

Download Citation

Xiaohong Fu. Xiangling Zhu. "Weighted Composition Operators on Some Weighted Spaces in the Unit Ball." Abstr. Appl. Anal. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/605807

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1160.47024
MathSciNet: MR2417227
Digital Object Identifier: 10.1155/2008/605807

Rights: Copyright © 2008 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2008 • 2008
Back to Top