Bessel–Riesz Operator in Variable Lebesgue Spaces <i>L<sup>p</sup></i><sup>(·)</sup>(<inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">R</mi><mo>+</mo></msub></mrow></semantics></math></inline-formula>)

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Bessel–Riesz Operator in Variable Lebesgue Spaces <i>L<sup>p</sup></i><sup>(·)</sup>(<inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">R</mi><mo>+</mo></msub></mrow></semantics></math></inline-formula>)

This paper investigates the Bessel–Riesz operator within the framework of variable Lebesgue spaces. We extend existing results by establishing boundedness under more general conditions. The analysis is based on the Hardy–Littlewood maximal function, Hölder’s inequality, and dyadic decomposition tech...

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Bibliographic Details
Main Authors:	Muhammad Nasir, Fehaid Salem Alshammari, Ali Raza
Format:	Article
Language:	English
Published:	MDPI AG 2025-05-01
Series:	Axioms
Subjects:	Bessel–Riesz operator Hardy–Littlewood maximal operator variable Lebesgue spaces
Online Access:	https://www.mdpi.com/2075-1680/14/6/429
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