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Weighted Estimates of Variable Kernel Fractional Integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent |
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| Authors: | Shao Xukui Tao Shuangping |
| Affiliation: | School of Mathematics and Statistics, LongDong University, Qingyang 745000, Gansu, China; School of Mathematics and statistics, Northwest Normal University, Lanzhou 730070, China.; Corresponding author. School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. |
| Abstract: | In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces. And the corresponding commutators generated by BMO function are also considered. |
| Keywords: | Fractional integral Commutator Variable kernel Vanishing generalized weighted Morrey space with variable exponent BMO space |
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