齐型空间上带非光滑核的奇异积分算子构成的多线性

J4 ›› 2013, Vol. 51 ›› Issue (03): 398-402.

齐型空间上带非光滑核的奇异积分算子构成的多线性

孙爱文, 陈红, 束立生

安徽师范大学数学计算机科学学院, 安徽芜湖 241003

收稿日期:2012-06-19 出版日期:2013-05-26 发布日期:2013-05-17
通讯作者: 束立生 E-mail:Shulsh@mail.ahnu.edu.cn

Lipschitz Estimates for Multilinear Commutators Generatedby Singular Integral Operators with Nonsmooth Kernelson Spaces of Homogeneous Type

SUN Aiwen, CHEN Hong, SHU Lisheng

College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China

Received:2012-06-19 Online:2013-05-26 Published:2013-05-17
Contact: SHU Lisheng E-mail:Shulsh@mail.ahnu.edu.cn

摘要/Abstract

摘要：

利用“广义恒等逼近”及齐型空间上测度μ的双倍条件, 对齐型空间上带非光滑核的奇异积分算子T与函数b(b∈Lip_β)生成的多线性交换
子T_b进行有界估计, 得到了L^p(X)到L^q(X)的一个结果.

关键词: 齐型空间, Lipschitz函数空间, 广义恒等逼近, 多线性交换子

Abstract:

Using “generalized approximations of the identity” and the double conditions of measure μ on spaces of homogeneous type, we esti
mated the boundedness of the multilinear commutators T_b generated by singular integral operators with nonsmooth kernels T and b(b∈Lip_β), and obtained a result from L^p(X) to L^q(X).

Key words: space of homogeneous type, Lipschitz space, generalized approximations of the identity, multilinear commutator

中图分类号:

O174.2

孙爱文, 陈红, 束立生. 齐型空间上带非光滑核的奇异积分算子构成的多线性[J]. J4, 2013, 51(03): 398-402.

SUN Ai-Wen, CHEN Gong, SHU Li-Sheng. Lipschitz Estimates for Multilinear Commutators Generatedby Singular Integral Operators with Nonsmooth Kernelson Spaces of Homogeneous Type[J]. J4, 2013, 51(03): 398-402.

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