一类推广的Hankel算子

数学季刊 ›› 1997, Vol. 12 ›› Issue (3): 50-58.

一类推广的Hankel算子

Department of Mathematics,University of Science and Technology of China

收稿日期:1996-10-24 出版日期:1997-09-30 发布日期:2024-11-25
基金资助:
Supported by the National Natural Sciences Fundations and the Nationai Education Committee Doctoral Fundations

A Kind of Generalized Hankel Operator

Department of Mathematics,University of Science and Technology of China

Received:1996-10-24 Online:1997-09-30 Published:2024-11-25
Supported by:
Supported by the National Natural Sciences Fundations and the Nationai Education Committee Doctoral Fundations

摘要/Abstract

摘要： In this paper,we introduce some opeators on Bergman space (B) that generalize a kind of generalized Hankel operator defined by M. M. Peloso. For such operators we prove boundedness, compactness and Schatten class property criteria.On the eut-off c(N) we know that the phenomenon founded by Peloso is an exceptional case.

关键词: Hankel operator, Schatten class

Abstract: In this paper,we introduce some opeators on Bergman space (B) that generalize a kind of generalized Hankel operator defined by M. M. Peloso. For such operators we prove boundedness, compactness and Schatten class property criteria.On the eut-off c(N) we know that the phenomenon founded by Peloso is an exceptional case.

Key words: Hankel operator, Schatten class

中图分类号:

O177

罗罗, 史济怀 . 一类推广的Hankel算子[J]. 数学季刊, 1997, 12(3): 50-58.

Luo Luo, Shi Jihuai. A Kind of Generalized Hankel Operator[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(3): 50-58.

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