\(L^{p(.)}-L^{q(.)}\) estimates for some convolution operators with singular finite measures

DOI10.1007/S10476-022-0125-YOpenAlexW4220869311MaRDI QIDQ2166144

L. Vallejos, Marta Uriciuolo

Publication date: 23 August 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-022-0125-y

zbMATH Keywords

singular measurevariable Lebesgue space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• \(L^p\)-\(L^q\) estimates for convolution operators with \(n\)-dimensional singular measures
• Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
• Endpoint bounds for convolution operators with singular measures
• Convolution Estimates for Some Measures on Curves
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)

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