【摘 要】
：
In this paper we give the (Lpα, Lp) boundedness of the maximal operator of a class of super singular integrals defined by T*Ω,αf(x) =- supε＞ 0|∫|x-y|＞εb(|y|
【机 构】
：
Department of Mathematics,Academy of Mathematics and System Sciences
【基金项目】
：
国家重点基础研究发展计划(973计划)
论文部分内容阅读
In this paper we give the (Lpα, Lp) boundedness of the maximal operator of a class of super singular integrals defined by T*Ω,αf(x) =- supε＞ 0|∫|x-y|＞εb(|y|)Ω(y)|y|-n-αf(x-y)dywhich improves and extends the known result. Moreover, by applying an off-Diagonal T1 Theorem, we also obtain the (Lp, Lq) boundedness of the commutator defined byCΩ,αf(x)= p.v.∫Rn (A(x) - A(y))Ω(x - y)|x - y|-n-αf(y)dy.
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