ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

doi:10.1016/S0252-9602(15)30068-0

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1475-1482.doi: 10.1016/S0252-9602(15)30068-0

ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

周立芳

Department of Mathematics, Huzhou University, Huzhou 313000, China

收稿日期:2014-11-27 修回日期:2014-05-20 出版日期:2015-11-01 发布日期:2015-11-01
作者简介:Lifang ZHOU, E-mail: lfzhou@hutc.zj.cn
基金资助:
Supported by the National Natural Science Foundation of China (11426104, 11271124, 11201141, 11301136, and 61473332), Natural Science Foundation of Zhejiang province (LQ13A010005, LY15A010014) and Teachers Project of Huzhou University (RP21028).

ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

Lifang ZHOU

Department of Mathematics, Huzhou University, Huzhou 313000, China

Received:2014-11-27 Revised:2014-05-20 Online:2015-11-01 Published:2015-11-01
Supported by:
Supported by the National Natural Science Foundation of China (11426104, 11271124, 11201141, 11301136, and 61473332), Natural Science Foundation of Zhejiang province (LQ13A010005, LY15A010014) and Teachers Project of Huzhou University (RP21028).

摘要/Abstract

摘要：

The boundedness and the norm of a class of integral operators T_{a, b, c} L_λ^p spaces are studied in this paper. The author not only gives the sufficient and necessary condition for the boundedness of T_{a, b, c} on L_λ^p, but also obtains its accurate norm on L_λ^p for some range under the condition of c = n + a + b.

关键词: integral operators, sufficient condition, necessary condition, operator norm, hypergeometric functions

Abstract:

Key words: integral operators, sufficient condition, necessary condition, operator norm, hypergeometric functions

中图分类号:

47B38

周立芳. ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS[J]. 数学物理学报(英文版), 2015, 35(6): 1475-1482.

Lifang ZHOU. ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS[J]. Acta mathematica scientia,Series B, 2015, 35(6): 1475-1482.

参考文献

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ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

ON THE BOUNDEDNESS AND THE NORM OF A CLASS OF INTEGRAL OPERATORS

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