Analytical Investigations into Multilinear Fractional Rough Hardy Operators Within Morrey–Herz Spaces Characterized by Variable Exponents

In this scholarly discourse, a rigorous examination is conducted on the boundedness properties of multilinear fractional rough Hardy operators within the structural framework of variable exponent Morrey–Herz spaces. Furthermore, analogous quantitative estimates are meticulously derived for their corresponding commutators, contingent upon the assumption that the governing symbol functions belong to the space of bounded mean oscillation (BMO) with variable exponents.

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Publication Details

Journal
Fractal and Fractional
Published
2025-08-30
DOI
https://doi.org/10.3390/fractalfract9090573
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
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article

Analytical Investigations into Multilinear Fractional Rough Hardy Operators Within Morrey–Herz Spaces Characterized by Variable Exponents

Ghada AlNemer, Muhammad Asim
Fractal and Fractional
Advanced Harmonic Analysis Research
article

Analytical Investigations into Multilinear Fractional Rough Hardy Operators Within Morrey–Herz Spaces Characterized by Variable Exponents

Ghada AlNemer, Muhammad Asim
article en

Abstract

In this scholarly discourse, a rigorous examination is conducted on the boundedness properties of multilinear fractional rough Hardy operators within the structural framework of variable exponent Morrey–Herz spaces. Furthermore, analogous quantitative estimates are meticulously derived for their corresponding commutators, contingent upon the assumption that the governing symbol functions belong to the space of bounded mean oscillation (BMO) with variable exponents.

Fractal and FractionalVol. 9(9)
Princess Nourah bint Abdulrahman University (SA), National University of Technology (PK)
Openalex Percentile: Top 66%
Advanced Harmonic Analysis Research
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