Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators gene...

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Main Authors: Xukui Shao, Shuangping Tao
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/7152346
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spelling doaj-0f8a060090d64273be59813619b128ce2020-11-24T21:49:54ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/71523467152346Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey SpacesXukui Shao0Shuangping Tao1College of Mathematics and Statistics, Northwest Normal University, Gansu, Lanzhou 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Gansu, Lanzhou 730070, ChinaIn this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators generated by BMO and Lipschitz functions are considered, respectively.http://dx.doi.org/10.1155/2019/7152346
collection DOAJ
language English
format Article
sources DOAJ
author Xukui Shao
Shuangping Tao
spellingShingle Xukui Shao
Shuangping Tao
Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
Journal of Function Spaces
author_facet Xukui Shao
Shuangping Tao
author_sort Xukui Shao
title Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
title_short Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
title_full Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
title_fullStr Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
title_full_unstemmed Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces
title_sort weak type estimates of variable kernel fractional integral and their commutators on variable exponent morrey spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2019-01-01
description In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators generated by BMO and Lipschitz functions are considered, respectively.
url http://dx.doi.org/10.1155/2019/7152346
work_keys_str_mv AT xukuishao weaktypeestimatesofvariablekernelfractionalintegralandtheircommutatorsonvariableexponentmorreyspaces
AT shuangpingtao weaktypeestimatesofvariablekernelfractionalintegralandtheircommutatorsonvariableexponentmorreyspaces
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