@article{Liu2025, 
author = {Ming Liu and Binhua Feng},
title = {Grand weighted variable Herz-Morrey spaces estimate for some operators},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {1},
pages = {290-316},
keywords = {variable exponent, grand weighted, Herz-Morrey spaces, fractional integrals operator, fractional Hardy operator},
url = {https://www.sciopen.com/article/10.3934/cam.2025012},
doi = {10.3934/cam.2025012},
abstract = {In this paper, we established the boundedness of higher-order commutators        I          β      ,      b              m       generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz-Morrey spaces              M                        K          ˙                            λ      ,      p      (      ⋅      )              α      ,      r      )      ,      θ        (  ω  ). We also obtained the boundedness of the    m  −order multilinear fractional Hardy operator              H              β      ,      m       and its adjoint operator              H              β      ,      m              ∗       on weighted variable-exponent Herz-Morrey spaces              M                        K          ˙                            q      ,      p      (      ⋅      )              α      ,      λ        (  ω  ).}
}