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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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/7152346 |
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| _version_ | 1832550117682446336 |
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| author | Xukui Shao Shuangping Tao |
| author_facet | Xukui Shao Shuangping Tao |
| author_sort | Xukui Shao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0f8a060090d64273be59813619b128ce |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0f8a060090d64273be59813619b128ce2025-02-03T06:07:32ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2019/7152346 |
| work_keys_str_mv | AT xukuishao weaktypeestimatesofvariablekernelfractionalintegralandtheircommutatorsonvariableexponentmorreyspaces AT shuangpingtao weaktypeestimatesofvariablekernelfractionalintegralandtheircommutatorsonvariableexponentmorreyspaces |