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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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