Bochner-Riesz means of functions in weak-\(L^ p\)

DOI10.1007/BF01311209zbMath0785.42005MaRDI QIDQ1261141

Giancarlo Travaglini, Marco Vignati, Leonardo Colzani

Publication date: 21 March 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178597

zbMATH Keywords

Fourier transformBochner-Riesz meansLorentz spacesradial functionstest functionsFourier-Bessel expansionFourier-Hankel expansionweak-\(L^ p\)

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) Multipliers for harmonic analysis in several variables (42B15)

Related Items (5)

A characterization of maximal operators associated with radial fourier multipliers ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Equiconvergence theorems for Sturm Liouville expansions and sets of divergence for Bochner Riesz means in Sobolev spaces ⋮ Characterizations of Hankel multipliers ⋮ Bochner-Riesz means with negative index of radial functions in Sobolev spaces

Cites Work

• The multiplier for the ball and radial functions
• Weak type endpoint bounds for Bochner-Riesz multipliers
• Weak type (1,1) bounds for rough operators
• Endpoint Estimates for the Maximal Operator Associated to Spherical Partial Sums on Radial Functions
• Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers
• Equiconvergence Theorems for Fourier-Bessel Expansions with Applications to the Harmonic Analysis of Radial Functions in Euclidean and Noneuclidean Spaces
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