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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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Citation： |
Xukui SHAO,Shuangping TAO.Weighted Estimates of Variable Kernel Fractional Integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent*[J].Chinese Annals of Mathematics B,2021,42(3):451~470 |
| Page view： 558
Net amount： 626 |
Authors： |
Xukui SHAO; Shuangping TAO |
Foundation： |
National Natural Science Foundation of China (No. 11561062) and Natural Science Foundation of Gansu Province (21JR1RM337). |
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| 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 |
Classification： |
42B20, 42B25, 42B35 |
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