Bloch型空间之间的广义Cesaàro算子

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 10-19.

Bloch型空间之间的广义Cesaàro算子

Department of Mathematics, Huzhou Teachers College

收稿日期:2005-11-07 出版日期:2009-03-30 发布日期:2023-09-05
作者简介:LV Xiao-fen(1981- ), female, native of Huzhou, Zhejiang, a lecturer of Huzhou Teachers College, M.S.D., engages in complex variables and operator theory.
基金资助:
Supported by the National Natural Science Foundation of China(10471039)； Supported by the Natural Science Foundation of Zhejiang Province(Y606197)； Supported by the Foundation of Education of Zhejiang Province(20070482)；

Extended Cesaàro Operator between Bloch-type Spaces

Department of Mathematics, Huzhou Teachers College

Received:2005-11-07 Online:2009-03-30 Published:2023-09-05
About author:LV Xiao-fen(1981- ), female, native of Huzhou, Zhejiang, a lecturer of Huzhou Teachers College, M.S.D., engages in complex variables and operator theory.
Supported by:
Supported by the National Natural Science Foundation of China(10471039)； Supported by the Natural Science Foundation of Zhejiang Province(Y606197)； Supported by the Foundation of Education of Zhejiang Province(20070482)；

摘要/Abstract

摘要： We characterize the symbol for which the induced extended Cesaàro operator T: Bω→ Bμ(respectively, Bω,0 → Bμ,0) is bounded or compact, where is a given holomorphic function on the unit disc D, ω and μ both are normal functions on [0,1).

关键词: Bloch-type space, extended Cesaàro operator, boundedness, compactness

Abstract: We characterize the symbol for which the induced extended Cesaàro operator T: Bω→ Bμ(respectively, Bω,0 → Bμ,0) is bounded or compact, where is a given holomorphic function on the unit disc D, ω and μ both are normal functions on [0,1).

Key words: Bloch-type space, extended Cesaàro operator, boundedness, compactness

中图分类号:

O177

吕小芬. Bloch型空间之间的广义Cesaàro算子[J]. 数学季刊, 2009, 24(1): 10-19.

LV Xiao-fen. Extended Cesaàro Operator between Bloch-type Spaces[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 10-19.

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