Next Article in Journal
Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity
Previous Article in Journal
New Interaction Patterns for the Truncated M-Fractional Kadomtsev–Petviashvili Equation in High-Dimensional Space
Previous Article in Special Issue
Fuzzy Convexity Under cr-Order with Control Operator and Fractional Inequalities
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Fractal Fract
Volume 9
Issue 9
10.3390/fractalfract9090573
fractalfract-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

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

by
Muhammad Asim
1,* and
Ghada AlNemer
2
1
Department of NUSASH, National University of Technology (NUTECH), Islamabad 44000, Pakistan
2
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
*
Author to whom correspondence should be addressed.
Fractal Fract. 2025, 9(9), 573; https://doi.org/10.3390/fractalfract9090573 (registering DOI)
Submission received: 14 July 2025 / Revised: 14 August 2025 / Accepted: 28 August 2025 / Published: 30 August 2025
(This article belongs to the Special Issue Fractional Integral Inequalities and Applications, 3rd Edition)
Versions Notes

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.
Keywords: rough Hardy operators; commutator; continuity; Morrey–Herz spaces rough Hardy operators; commutator; continuity; Morrey–Herz spaces

Share and Cite

MDPI and ACS Style

Asim, M.; AlNemer, G. Analytical Investigations into Multilinear Fractional Rough Hardy Operators within Morrey–Herz Spaces Characterized by Variable Exponents. Fractal Fract. 2025, 9, 573. https://doi.org/10.3390/fractalfract9090573

AMA Style

Asim M, AlNemer G. Analytical Investigations into Multilinear Fractional Rough Hardy Operators within Morrey–Herz Spaces Characterized by Variable Exponents. Fractal and Fractional. 2025; 9(9):573. https://doi.org/10.3390/fractalfract9090573

Chicago/Turabian Style

Asim, Muhammad, and Ghada AlNemer. 2025. "Analytical Investigations into Multilinear Fractional Rough Hardy Operators within Morrey–Herz Spaces Characterized by Variable Exponents" Fractal and Fractional 9, no. 9: 573. https://doi.org/10.3390/fractalfract9090573

APA Style

Asim, M., & AlNemer, G. (2025). Analytical Investigations into Multilinear Fractional Rough Hardy Operators within Morrey–Herz Spaces Characterized by Variable Exponents. Fractal and Fractional, 9(9), 573. https://doi.org/10.3390/fractalfract9090573

Article Metrics

Back to TopTop