L^p boundedness of some rough operators with different weights

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概要

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• In this paper we prove that the maximal operator M<SUB>Ω</SUB>, the singular integral operator T<SUB>Ω</SUB>, and the maximal singular integral operator T<SUB>Ω</SUB><SUP>*</SUP> with rough kernels are all bounded operators from L<SUP>p</SUP>(v) to L<SUP>p</SUP>(u) for the weight functions pair (u, v). Here the kernel function Ω satisfies a size condition only; that is, Ω∈ L<SUP>q</SUP>(S<SUP>n-1</SUP>), q>1, but has no smoothness on S<SUP>n-1</SUP>.

• 社団法人 日本数学会の論文
• 2003-01-01

著者

• Ding Yong

  Department Of Mathematics Beijing Normal University

• LIN Chin-Cheng

  Department of Mathematics National Central University

• Ding Yong

  Department Of Ecology And Environmental Science Inner Mongolia University

関連論文

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