Complex Symmetric Weighted Composition Operators on the Hardy Space

被引:0
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作者
Cao Jiang
Shi-An Han
Ze-Hua Zhou
机构
[1] Nanchang Hangkong University,School of Mathematics and Information Sciences
[2] Civil Aviation University of China,College of Science
[3] Tianjin University,School of Mathematics
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关键词
complex symmetry; weighted composition operator; Hardy space; 47B33; 47B38;
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摘要
This paper identifies a class of complex symmetric weighted composition operators on H2(D) that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.
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页码:817 / 831
页数:14
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