Weighted estimates in a limited range with applications to the Bochner-Riesz operators

DOI10.1512/IUMJ.2012.61.4723zbMath1283.42016OpenAlexW2005153352MaRDI QIDQ2851023

María Lorente, Javier Duoandikoetxea, María Jesús Carro

Publication date: 1 October 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2012/4723

zbMATH Keywords

Lorentz spacedistribution estimateBochner-Rieszextrapolation of weightstwo weight 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) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (13)

Weighted estimates for Bochner–Riesz operators on Lorentz spaces ⋮ Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Extrapolation of compactness on weighted spaces ⋮ Extrapolations on ball Banach function spaces and applications ⋮ On weak-type (1, 1) for averaging type operators ⋮ Sharp bound of the maximal Bochner-Riesz operator in weighted Lebesgue spaces ⋮ New weighted estimates for the disc multiplier on radial functions ⋮ Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings ⋮ Sparse bounds for Bochner-Riesz multipliers ⋮ Sparse bilinear forms for Bochner Riesz multipliers and applications ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ A counting problem in ergodic theory and extrapolation for one-sided weights ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation

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