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SCHATTEN(-HERZ) CLASS EXTENDED CESÀRO OPERATORS ON BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

ZHANGJIAN HU and XIAOMIN TANG
Proceedings of the American Mathematical Society
Vol. 138, No. 8 (AUGUST 2010), pp. 2803-2814
Stable URL: http://www.jstor.org/stable/20764236
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
SCHATTEN(-HERZ) CLASS EXTENDED CESÀRO OPERATORS ON BERGMAN SPACES IN THE UNIT BALL OF Cⁿ
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Abstract

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

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