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Extended Cesàro operator between some holomorphic function spaces

Published online by Cambridge University Press:  17 April 2009

Xiaofen Lv
Xiaofen Lv
Affiliation:
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, 313000, Peoples Republic of China, e-mail: Lxf00411@126.com
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We characterize the boundedness and compactness of the extended Cesàro operator Tg from H∞ to the mixed norm space and Bloch-type space (or little Bloch-type space), where g is a given holomorphic function in the unit ball of Cn and Tg is defined by .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 385 - 392
Copyright
Copyright © Australian Mathematical Society 2006

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