New extrapolation estimates

DOI10.1006/jfan.2000.3568zbMath0962.42014OpenAlexW2014056304MaRDI QIDQ1579197

María Jesús Carro

Publication date: 11 January 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3568

zbMATH Keywords

distribution functionsublinear operatorextrapolation estimate

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) Maximal functions, Littlewood-Paley theory (42B25) Abstract interpolation of topological vector spaces (46M35)

Related Items (14)

Endpoint estimates from restricted rearrangement inequalities. ⋮ Revisiting Yano extrapolation theory ⋮ The return times property for the tail on logarithm-type spaces ⋮ A note on extrapolation theory ⋮ Extrapolation on the cone of decreasing functions ⋮ Extrapolation on \(L^{p,\infty}({\mu})\) ⋮ Endpoint estimates for Rubio de Francia operators ⋮ On the Dirichlet problem on Lorentz and Orlicz spaces with applications to Schwarz-Christoffel domains ⋮ Grand and small Lebesgue spaces and their analogs ⋮ Noncommutative extrapolation theorems and applications ⋮ Extrapolation theory: new results and applications ⋮ An extrapolation theorem on martingale spaces with A p weights ⋮ Modular inequalities for averaging-type operators ⋮ Pointwise bounds for integral type operators

Cites Work

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• Extrapolation theorem on some quasi-Banach spaces
• An inequality of Paley and convergence a.e. of Walsh-Fourier series
• Notes on Fourier analysis. XXIX. An extrapolation theorem
• Extrapolation theory with applications
• The Hardy-Littlewood Maximal Function and Weighted Lorentz Spaces
• On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series

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