Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents

doi:10.1007/s11464-020-0864-7

Front. Math. China

2020, Vol. 15

Issue (5) : 1011-1034 https://doi.org/10.1007/s11464-020-0864-7

RESEARCH ARTICLE

Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents

Hongbin WANG^1,²(

), Jingshi XU³, Jian TAN⁴

¹. School of Mathematical Sciences, Anhui University, Hefei 230601, China
². School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China
³. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
⁴. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

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Abstract

We prove the boundedness for a class of multi-sublinear singular integral operators on the product of central Morrey spaces with variable exponents. Based on this result, we obtain the boundedness for the multilinear singular integral operators and two kinds of multilinear singular integral commutators on the above spaces.

Keywords Multilinear singular integral variable exponent central Morrey space

Corresponding Author(s): Hongbin WANG

Issue Date: 19 November 2020

Cite this article:

Hongbin WANG,Jingshi XU,Jian TAN. Boundedness of multilinear singular integrals on central Morrey spaces with variable exponents[J]. Front. Math. China, 2020, 15(5): 1011-1034.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0864-7
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I5/1011

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