Schatten(-Herz) class extended Cesàro operators on Bergman spaces in the unit ball of 𝐂ⁿ

Hu, Zhangjian; Tang, Xiaomin

doi:10.1090/S0002-9939-10-10365-7

Schatten(-Herz) class extended Cesàro operators on Bergman spaces in the unit ball of ${\mathbf {C}}^n$
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Proc. Amer. Math. Soc. 138 (2010), 2803-2814 Request permission

Abstract:

For a large class of weights $\varphi$, we characterize the holomorphic symbols $g$, for which the extended Cesàro operators $T_g$ acting on the weighted Bergman space $A^2_\varphi ({\mathbf B})$ are in the Schatten (or Schatten-Herz) class in the unit ball of $\mathbf {C}^n$.

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