Extrapolation on function and modular spaces, and applications

DOI10.1016/j.aim.2022.108520zbMath1494.42028arXiv2101.06253OpenAlexW3125720499MaRDI QIDQ2161290

Juan José Marín, Ming Ming Cao, José Maria Martell

Publication date: 4 August 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06253

zbMATH Keywords

Dirichlet problemMuckenhoupt weightsmodular spacesvector-valued inequalitiesBanach function spacesRubio de Francia extrapolation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47) Harmonic analysis and PDEs (42B37)

Related Items (6)

Extrapolation in general quasi-Banach function spaces ⋮ A class of multilinear bounded oscillation operators on measure spaces and applications ⋮ Banach function spaces done right ⋮ Multilinear off-diagonal limited range extrapolations ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space

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