Compact Differences of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Compact Differences of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

Authors:	J S Manhas

Institution:	(1) Department of Mathematics, College of Science, Sultan Qaboos University, P.O. Box 36, P.C. 123 Al-Khod, Sultanate of Oman

Abstract:	Let $H_{\nu}^{\infty} (\mathbb{D})$ be the weighted Banach space of analytic functions with a topology generated by weighted sup-norm. In the present article, we investigate the analytic mappings $\phi_{1},\phi_{2}:{\mathbb{D}} \rightarrow {\mathbb{D}}$ and $\theta, \pi : {\mathbb{D}} \rightarrow {\mathbb{C}}$ which characterize the compactness of differences of two weighted composition operators $W_{\phi_{1},\theta} -W_{\phi_{2},\pi}$ on the space $H_{\nu}^{\infty}({\mathbb{D}}$ . As a consequence we characterize the compactness of differences of composition operators on weighted Bloch spaces.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 47B38 47B37 47B33 47B07 Secondary 46E15 46E10 30H05
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