Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (6): 1287-1295.

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Weighted Boundedness of Fractional Integral Operators and Its Commutator on Generalized  Morrey Spaces over RD-Spaces#br#

FANG Guangjie, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2023-01-04 Online:2023-11-26 Published:2023-11-26

Abstract: By using Holder’s inequality and the related properties of weighted functions, we gave the boundedness of fractional integral operators and BMO  commutator on generalized weighted Morrey spaces over RD (reverse doubling condition)-spaces, and gave the corresponding  endpoint estimates.

Key words: fractional integral operator, commutator, generalized weighted Morrey space, RD-space

CLC Number: 

  • O174.2