The Commutators of n-dimensional Rough Fractional Hardy Operators on Two Weighted Grand Herz-Morrey Spaces with Variable Exponents

2025/02/19 by Shengrong Wang, Pengfei Guo, Wang, Shengrong +3
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2502.13848

openalex publication_date 2025/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain the boundedness of mth order commutators generated by the n-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with variable exponents. Replacing Lipschitz functions with BMO functions the corresponding result is also given.

Related

• Some estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces
• Bounds for p-adic Hardy-type Operators and Commutator On p-adic Variable Herz-Morrey Spaces
• The boundedness of a class of fractional type rough higher order commutators on vanishing generalized weighted Morrey spaces
• Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators
• Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces