石家庄学院学报
石傢莊學院學報
석가장학원학보
JOURNAL OF SHIJIAZHUANG COLLEGE
2012年
6期
30-33
,共4页
冯文莉%唐加冕%刘学军%张东凯
馮文莉%唐加冕%劉學軍%張東凱
풍문리%당가면%류학군%장동개
向量值奇异积分算子%L^S,ε-Dini型核%加权不等式
嚮量值奇異積分算子%L^S,ε-Dini型覈%加權不等式
향량치기이적분산자%L^S,ε-Dini형핵%가권불등식
vector-valued singular integral operator%L^S,ε-Dini kernel%weighted inequality
标准核向量值奇异积分算子理论已日趋完善,弱Dini型核向量值奇异积分算子理论也有所研究,把核的条件继续减弱成粗糙的L^S,ε-Dini,得到了具有L^S,ε-Dini核向量值奇异积分算子的加权不等式,改进了以往的结果.
標準覈嚮量值奇異積分算子理論已日趨完善,弱Dini型覈嚮量值奇異積分算子理論也有所研究,把覈的條件繼續減弱成粗糙的L^S,ε-Dini,得到瞭具有L^S,ε-Dini覈嚮量值奇異積分算子的加權不等式,改進瞭以往的結果.
표준핵향량치기이적분산자이론이일추완선,약Dini형핵향량치기이적분산자이론야유소연구,파핵적조건계속감약성조조적L^S,ε-Dini,득도료구유L^S,ε-Dini핵향량치기이적분산자적가권불등식,개진료이왕적결과.
The theory of standard kernel vector-valued singular integral operators is nearly perfect. Dini-type kernel Vector-Valued singular integral operators is studied. Now it decreases the condition of kernel to rough L^S,ε-Dini type, and it obtains the weighted inequalities of vector-valued singular integral operators with L^S,ε-Dini condition. So, it improves the previous results.
