Bloch型空间上广义Cesàro算子的本性模

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 105-110.

Bloch型空间上广义Cesàro算子的本性模

College of Mathematics, Physics and Information Engineering, Zhejiang Normal University

收稿日期:2011-08-17 出版日期:2013-03-30 发布日期:2023-03-09
作者简介:ZHAO Di(1985-), female, native of Zoucheng, Shandong, a graduate student 2009 of Zhejiang Normal University, engages in complex variables and operator theory.
基金资助:
Supported by the NNSF of China(10771064)； Supported by the Natural Science Foundation of Zhejiang Province(Y7080197, Y6090036, Y6100219)； Supported by the Foundation of Creative Groupin Colleges and Universities of Zhejiang Province(T200924)

Essential Norm of Extended Cesàro Operators between Bloch-type Spaces

College of Mathematics, Physics and Information Engineering, Zhejiang Normal University

Received:2011-08-17 Online:2013-03-30 Published:2023-03-09
About author:ZHAO Di(1985-), female, native of Zoucheng, Shandong, a graduate student 2009 of Zhejiang Normal University, engages in complex variables and operator theory.
Supported by:
Supported by the NNSF of China(10771064)； Supported by the Natural Science Foundation of Zhejiang Province(Y7080197, Y6090036, Y6100219)； Supported by the Foundation of Creative Groupin Colleges and Universities of Zhejiang Province(T200924)

摘要/Abstract

摘要： The Bloch-type space B_ω consists of all functions f ∈ H(B) for which ||f||B_ω=sup_z∈Bω(z)|▽f(z)|< ∞. Let T be the extended Cesàro operator with holomorphic symbol. The essential norm of T as an operator from Bω to Bμ is denoted by ||T||_e,Bω→B_μ. The purpose of this paper is to prove that, for ω, μ normal and ...dt/ω(t) .

关键词: extended Cesàro operator, Bloch-type space, essential norm

Abstract: The Bloch-type space Bω consists of all functions f ∈ H(B) for which ||f||B_ω=sup_z∈Bω(z)|▽f(z)|< ∞. Let T be the extended Cesàro operator with holomorphic symbol. The essential norm of T as an operator from Bω to Bμ is denoted by ||T||_e,Bω→B_μ. The purpose of this paper is to prove that, for ω, μ normal and ...dt/ω(t) .

Key words: extended Cesàro operator, Bloch-type space, essential norm

中图分类号:

O177

赵弟. Bloch型空间上广义Cesàro算子的本性模[J]. 数学季刊, 2013, 28(1): 105-110.

ZHAO Di. Essential Norm of Extended Cesàro Operators between Bloch-type Spaces[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 105-110.

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