Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><...

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Bibliographic Details
Main Authors: Waqar Afzal, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, Yahya Almalki
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Fractal and Fractional
Subjects:
Sobolev inequality
exponentially damped Riesz operator
Hardy–Littlewood maximal operator
variable Lebesgue spaces
boundedness of fractional operators
regularity of elliptic equations
Online Access:https://www.mdpi.com/2504-3110/9/7/458
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