@article{Wang2025, 
author = {Liwei Wang and Xiaoyan Li},
title = {Parametric Marcinkiewicz integral on grand variable Herz-Morrey spaces},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23652-23675},
keywords = {parametric Marcinkiewicz integral, higher-order commutator, grand Herz-Morrey space, variable exponent},
url = {https://www.sciopen.com/article/10.3934/math.20251051},
doi = {10.3934/math.20251051},
abstract = {We establish the boundedness of the parametric Marcinkiewicz integral        μ    Ω    ρ   and its higher-order commutators    [      Λ    m    ,      μ    Ω    ρ    ] with        B    M    O   symbols on grand variable Herz-Morrey spaces    M                    K        ˙                    λ      ,      β      (      ⋅      )              α      (      ⋅      )      ,      γ      )      ,      θ        (                    R              n    ). These results also apply to grand variable Herz spaces, including the case where    α  (  ⋅  ) is constant.}
}