具有Dini条件奇异积分算子的加权不等式

journal6 ›› 2009, Vol. 30 ›› Issue (2): 19-21.

具有Dini条件奇异积分算子的加权不等式

(石家庄学院数学与信息科学系,河北石家庄 050035)

出版日期:2009-03-25 发布日期:2012-04-25
作者简介:冯文莉(1977-),女，河北石家庄人,石家庄学院数学与信息科学系讲师,硕士,主要从事调和分析与小波分析研究.
基金资助:
河北省自然科学基金资助项目(08M001)；石家庄学院自然科学基金资助项目(2007)

Weighted Inequalities for Singular Integral Operators with Dini-Type Condition

(Department of Mathematics and Information Science,Shijiazhuang University,Shijiazhuang 050035,China)

Online:2009-03-25 Published:2012-04-25

摘要/Abstract

摘要：研究了具有标准核的奇异积分算子,为了扩大奇异积分算子的研究范围,现将核的条件减弱成Dini条件,利用核的性质及一些技巧性估计,得到Dini型核奇异积分算子关于任意权函数的几个加权赋范不等式.

关键词： 奇异积分算子, Dini条件, 加权赋范不等式

Abstract: Now the study of singular integral operator with standard kernel is very popular.In order to enlarge the research scope,
the authors decline the condition of kernel to Dini-type condition;and by using the quality of kernel and technique estimation,the authors obtain some weighted norm inequalities for the singular integral operator with Dini-type condition.

Key words: singular integral operator, Dini-type condition, weighted norm inequality

冯文莉, 赵建华. 具有Dini条件奇异积分算子的加权不等式[J]. journal6, 2009, 30(2): 19-21.

FENG Wen-Li, ZHAO Jian-Hua. Weighted Inequalities for Singular Integral Operators with Dini-Type Condition[J]. journal6, 2009, 30(2): 19-21.