Journal of Lanzhou University of Technology ›› 2023, Vol. 49 ›› Issue (4): 162-165.

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Boundedness of fractional maximal commutators with variable kernels on variable exponent morrey spaces

YANG Xu-sheng1, WANG Su-ping2   

  1. 1. School of Education, Lanzhou University of Arts and Science, Lanzhou 730000, China;
    2. School of Mathematics and Information Engineering Statistics, Longdong University, Qingyang 745000, China
  • Received:2022-04-26 Online:2023-08-28 Published:2023-08-29

Abstract: By using the properties of kernel function Ω(x,z), it is proved that the commutators ΜΩ,α,b generated by the fractional Maximal operator with variable kernel ΜΩ,α and Lipschitz function b is a bounded operator on variable exponent Morrey spaceMp(·),u(Rn), which generalizes the previous results related to non-variable kernels.

Key words: fractional Maximal operator, commutators, variable exponent Morrey space, variable kernel

CLC Number: