Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels-Reference-Cited by-同舟云学术

Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels

Published:2017 Issue: Volume:2017 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Wang Hongbin¹²^ORCID,Wang Jiajia³^ORCID,Fu Zunwei⁴^ORCID

Affiliation:

1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

2. School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, China

3. Department of Mathematics, Linyi University, Linyi 276005, China

4. Department of Mathematics, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of Korea

Abstract

We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its commutator [b,TΩ,σ] on Morrey-Herz space with variable exponent, where Ω∈Ls(Sn-1) for s≥1 is a homogeneous function of degree zero, 0<σ<n, and b is a BMO function.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2017/1908794.pdf

Reference28 articles.

1. Boundedness of rough singular integral operatorson the homogeneous Morrey-Herz spaces

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