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Weighted Composition Operators from Analytic Besov Spaces into the Bloch Space

Authors :
Songxiao Li
Hasi Wulan
Qinghua Hu
Source :
Bulletin of the Malaysian Mathematical Sciences Society. 42:485-501
Publication Year :
2017
Publisher :
Springer Science and Business Media LLC, 2017.

Abstract

In this paper, we give some new essential norm estimates of weighted composition operators \(uC_{\varphi }\) from analytic Besov spaces into the Bloch space, where u is a function analytic on the unit disk \(\mathbb {D}\) and \(\varphi \) is an analytic self-map of \(\mathbb {D}\). Moreover, new characterizations for the boundedness, compactness and essential norm of weighted composition operators \(uC_{\varphi }\) are obtained by the nth power of the symbol \(\varphi \) and the Volterra operators \(I_u\) and \(J_u\).

Details

ISSN :
21804206 and 01266705
Volume :
42
Database :
OpenAIRE
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Accession number :
edsair.doi...........3f23060bf08d61cafb76bae3ed47220c
Full Text :
https://doi.org/10.1007/s40840-017-0493-9