分数次积分交换子的加权不等式

数学物理学报 ›› 2011, Vol. 31 ›› Issue (1): 239-249.

分数次积分交换子的加权不等式

李文明¹,张雅静²,默会霞³

1.河北师范大学数学与信息科学学院家庄 050016;石家庄 050016;2.河北农业大学理学院 |河北保定 071001|3.北京邮电大学理学院 |北京 100876

收稿日期:2008-12-30 修回日期:2009-12-22 出版日期:2011-02-25 发布日期:2011-02-25
基金资助:
河北省自然科学基金(08M001)、国家自然科学基金(10771049, 10871024)和中央高校基本科研业务费专项资金(BUPT2009RC0703)资助

Weighted Inequalities for Commutators of |Fractional Integrals

LI Wen-Ming¹, ZHANG Ya-Jing², MO Hui-Xia³

1.College of Mathematics and Information Science, |Hebei Normal University, Shijiazhuang 050016;2.College of Science, Agriculture University of Hebei, Hebei Baoding 071001;3.School of Science, Beijing University of Post and Telecommunications, Beijing 100876

Received:2008-12-30 Revised:2009-12-22 Online:2011-02-25 Published:2011-02-25
Supported by:
河北省自然科学基金(08M001)、国家自然科学基金(10771049, 10871024)和中央高校基本科研业务费专项资金(BUPT2009RC0703)资助

摘要/Abstract

摘要：

对分数次积分算子和BMO函数构成的高阶交换子, 该文给出了强型和弱型的加权不等式.

关键词: 分数次积分, 交换子, 加权不等式, Young函数

Abstract:

In this paper, the authors give some strong-type and weak-type weighted inequalities for the higher order commutators
of the fractional integral operators with BMO functions.

Key words: Fractional integral, Commutator, Weighted inequality, Young functions

中图分类号:

42B20

李文明, 张雅静, 默会霞. 分数次积分交换子的加权不等式[J]. 数学物理学报, 2011, 31(1): 239-249.

LI Wen-Ming, ZHANG Ya-Jing, MO Hui-Xia. Weighted Inequalities for Commutators of |Fractional Integrals[J]. Acta mathematica scientia,Series A, 2011, 31(1): 239-249.

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