非双倍测度下多线性奇异积分算子及其交换子在Morrey-Herz型空间上的有界性

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 545-555.

非双倍测度下多线性奇异积分算子及其交换子在Morrey-Herz型空间上的有界性

ZHOU Juan, ZHU Yue-ping

School of Science, Nantong University

收稿日期:2011-04-08 出版日期:2012-12-30 发布日期:2023-03-15
通讯作者: ZHU Yue-ping(1965-), female, native of Jingjiang, Jiangsu, a professor of Nantong University, Ph.D., engages in harmonic analysis(corresponding author).
作者简介:ZHOU Juan(1987-), female, native of Rugao, Jiangsu, graduted student; ZHU Yue-ping(1965-), female, native of Jingjiang, Jiangsu, a professor of Nantong University, Ph.D., engages in harmonic analysis(corresponding author).
基金资助:
Supported by the National Natural Science Foundation of China(10971228)； Supported by the Science and Technology Innovation Plan for Graduate Students of Jiangsu Educational Department(CXZZll-0633)； Supported by the Science and Technology Innovation Plan for Graduate Students of Nantong University (YKC111051)； Supported by the NSF of Nantong University(llZY002)

Boundedness of Multilinear Singular Integrals and Their Commutators on Morrey-Herz Spaces with Non-doubling Measures

School of Science, Nantong University

Received:2011-04-08 Online:2012-12-30 Published:2023-03-15
Contact: ZHU Yue-ping(1965-), female, native of Jingjiang, Jiangsu, a professor of Nantong University, Ph.D., engages in harmonic analysis(corresponding author).
About author:ZHOU Juan(1987-), female, native of Rugao, Jiangsu, graduted student; ZHU Yue-ping(1965-), female, native of Jingjiang, Jiangsu, a professor of Nantong University, Ph.D., engages in harmonic analysis(corresponding author).
Supported by:
Supported by the National Natural Science Foundation of China(10971228)； Supported by the Science and Technology Innovation Plan for Graduate Students of Jiangsu Educational Department(CXZZll-0633)； Supported by the Science and Technology Innovation Plan for Graduate Students of Nantong University (YKC111051)； Supported by the NSF of Nantong University(llZY002)

摘要/Abstract

摘要： Let μ be a non-negative Radon measure on R^d which satisfies some growth conditions. The boundedness of multilinear Calderon-Zygmund singular integral operator T and its commutators with RBMO functions on Morrey-Herz spaces are obtained if T is bounded from L¹(μ)×…×L¹(μ) to L^1/m,∞(μ).

关键词: non-doubling measure, multilinear singular integral operator, commutator, Morrey-Herz space

Abstract: Let μ be a non-negative Radon measure on R^d which satisfies some growth conditions. The boundedness of multilinear Calderon-Zygmund singular integral operator T and its commutators with RBMO functions on Morrey-Herz spaces are obtained if T is bounded from L¹(μ)×…×L¹(μ) to L^1/m,∞(μ).

Key words: non-doubling measure, multilinear singular integral operator, commutator, Morrey-Herz space

中图分类号:

O177.6

周娟, 朱月萍. 非双倍测度下多线性奇异积分算子及其交换子在Morrey-Herz型空间上的有界性[J]. 数学季刊, 2012, 27(4): 545-555.

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