F(p,q,s)空间到Block型空间的复合积分型算子

数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 352-356.

F(p,q,s)空间到Block型空间的复合积分型算子

College of Mathematics and Science, Xiamen University

收稿日期:2010-09-13 出版日期:2012-09-30 发布日期:2023-03-22
作者简介:LV Xiao-fen(1981-), female, native of Huzhou, Zhejiang, a doctorial student of Xiamen University, engages in complex variables and operator theory; YING Shao-hong(1988-), male, native of Shaoxing, Zhejiang, a master degree candidate of Xiamen University, engages in complex variables and operator theory.
基金资助:
Supported by the NNSF of China(10771064, 11101139)； Supported by the NSF of Zhejiang Province(Y7080197, Y6090036, Y6100219)； Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)

Composition-integral Type Operators from F(p, q, s) Spaces to Bloch-type Spaces

College of Mathematics and Science, Xiamen University

Received:2010-09-13 Online:2012-09-30 Published:2023-03-22
About author:LV Xiao-fen(1981-), female, native of Huzhou, Zhejiang, a doctorial student of Xiamen University, engages in complex variables and operator theory; YING Shao-hong(1988-), male, native of Shaoxing, Zhejiang, a master degree candidate of Xiamen University, engages in complex variables and operator theory.
Supported by:
Supported by the NNSF of China(10771064, 11101139)； Supported by the NSF of Zhejiang Province(Y7080197, Y6090036, Y6100219)； Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)

摘要/Abstract

摘要： This paper deals with the boundedness and compactness of the compositionintegral type operators T g, from F (p, q, s) spaces to(little) Bloch-type spaces in the unit ball of C n , where Tg,φf(z) =∫01fφ(tz)Rg(tz)(dt)/t , z ∈ B, g ∈ H(B) and φ∈H(B, B).

关键词: F (p, q, s) space, Bloch-type space, boundedness, compactness

Key words: F (p, q, s) space, Bloch-type space, boundedness, compactness

中图分类号:

O174.56

吕小芬, 应少鸿. F(p,q,s)空间到Block型空间的复合积分型算子[J]. 数学季刊, 2012, 27(3): 352-356.

LV Xiao-fen, YING Shao-hong. Composition-integral Type Operators from F(p, q, s) Spaces to Bloch-type Spaces[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 352-356.

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