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Research Article | Open Access

Analytical findings on bilinear fractional Hardy operators in weighted central Morrey spaces with variable exponents

Department of NUSASH, National University of Technology (NUTECH), Islamabad 44000, Pakistan
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
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Abstract

This paper demonstrates the boundedness of the fractional bilinear Hardy operator and its adjoint on weighted − λ-central Morrey spaces with a variable exponent. Analogous outcomes for their commutators were derived when the symbol functions are elements of the weighted − λ-central bounded mean oscillation ( − λ-central BMO) spaces.

Keywords

Hardy-type operatorsweightedcontinuityMorrey space
CLC number: 42B35, 26D10, 47B38, 47G10

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 10431-10451
DOI: 10.3934/math.2025475

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Cite this article:
Asim M, AlNemer G. Analytical findings on bilinear fractional Hardy operators in weighted central Morrey spaces with variable exponents. AIMS Mathematics, 2025, 10(5): 10431-10451. https://doi.org/10.3934/math.2025475

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Received: 11 February 2025
Revised: 17 April 2025
Accepted: 21 April 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)