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Compact Ceshro Operators from Spaces H(p,q,u) to H(p, q, v) 被引量:2

Compact Ceshro Operators from Spaces H(p,q,u) to H(p, q, v)
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摘要 Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, v) in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces. Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, v) in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2006年第3期437-442,共6页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.10571049, 10471039), the Natural Scicnce Foundation of Zhejiang Province (No. M103085).
关键词 Cesàro operator BOUNDEDNESS COMPACTNESS mixed norm space Cesàro operator, boundedness, compactness, mixed norm space
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