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Research Article | Open Access

Results for fractional bilinear Hardy operators in central varying exponent Morrey space

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
National University of Technology (NUTECH), Islamabad 44000, Pakistan
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Saudi Arabia
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Abstract

This paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the λ-central Morrey space with variable exponents. Analogous outcomes for their commutators are derived when the symbol functions are elements of the λ-central bounded mean oscillation ( λ-central BMO) space.

Keywords

bilinear Hardy operatorsfractional integralboundednessfunction space
CLC number: 42B35, 26D10, 47B38, 47G10

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 29689-29706
DOI: 10.3934/math.20241438

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Cite this article:
Asim M, AlNemer G. Results for fractional bilinear Hardy operators in central varying exponent Morrey space. AIMS Mathematics, 2024, 9(11): 29689-29706. https://doi.org/10.3934/math.20241438

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Received: 05 August 2024
Revised: 26 September 2024
Accepted: 09 October 2024
Published: 21 October 2024
©2024 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)