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Compact Cesàro Operators from Spaces H(p,q,u) to H(p,q,v)

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Abstract

Let μ and ν be normal functions and let T g be the extended Cesàso operator in terms of the symbol g. In this paper, we will characterize those g so that T g is bounded (or compact) from mixed norm spaces H(p, q, μ) to H(p, q, ν) in the unit ball of C n. Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410006, China

    Xue-jun Zhang

  2. Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China

    Yu-ming Chu

Authors
  1. Xue-jun Zhang
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  2. Yu-ming Chu
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Correspondence to Xue-jun Zhang.

Additional information

Supported by the National Natural Science Foundation of China (No.10571049, 10471039), the Natural Science Foundation of Zhejiang Province (No. M103085).

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Zhang, Xj., Chu, Ym. Compact Cesàro Operators from Spaces H(p,q,u) to H(p,q,v). Acta Math. Appl. Sin, Engl. Ser. 22, 437–442 (2006). https://doi.org/10.1007/s10255-006-0319-2

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  • DOI: https://doi.org/10.1007/s10255-006-0319-2

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