Fractional integral operators in variable exponent Stummel spaces

Alexandre Almeida; Humberto Rafeiro

doi:10.1007/s13324-024-01006-w

Fractional integral operators in variable exponent Stummel spaces

Alexandre Almeida, Humberto Rafeiro

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.

Original language	English
Article number	11
Journal	Analysis and Mathematical Physics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s13324-024-01006-w
Publication status	Published - Feb 2025

Keywords

Fractional maximal operator
Non-standard growth
Riesz potentials
Stummel classes
Variable exponents
Weights

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics

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10.1007/s13324-024-01006-w

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title = "Fractional integral operators in variable exponent Stummel spaces",

abstract = "We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.",

keywords = "Fractional maximal operator, Non-standard growth, Riesz potentials, Stummel classes, Variable exponents, Weights",

author = "Alexandre Almeida and Humberto Rafeiro",

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AU - Rafeiro, Humberto

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KW - Riesz potentials

KW - Stummel classes

KW - Variable exponents

KW - Weights

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Fractional integral operators in variable exponent Stummel spaces

Abstract

Keywords

ASJC Scopus subject areas

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