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Rubio de Francia's extrapolation theory: estimates for the distribution function

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Publication:2880396
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DOI10.1112/jlms/jdr056zbMath1241.42018arXiv1011.2032OpenAlexW2073302155WikidataQ61611283 ScholiaQ61611283MaRDI QIDQ2880396

Rodolfo H. Torres, Javier Soria, María Jesús Carro

Publication date: 13 April 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2032


zbMATH Keywords

extrapolation theory, weight, distribution function, Muckenhoupt class, maximal operator, multilinear operator, rearrangement invariant space


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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)


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Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces ⋮ Extrapolation of weights revisited: new proofs and sharp bounds ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ Boundedness of sparse and rough operators on weighted Lorentz spaces



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