Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers

DOI10.2307/2000209zbMath0587.42009OpenAlexW4254741029MaRDI QIDQ3712903

Benjamin Muckenhoupt, Sagun Chanillo

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000209

zbMATH Keywords

Fourier transformBochner-Riesz multiplier

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15)

Related Items

The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators ⋮ Characterizations of Hankel multipliers ⋮ Bochner-Riesz means of functions in weak-\(L^ p\) ⋮ Convolution with oscillating kernels: Bochner-Riesz and spherical partial sums operators ⋮ Weighted Norm Inequalities for Bochner-Riesz Spherical Summation Multipliers ⋮ The Bochner-Riesz means for Fourier-Bessel expansions ⋮ Bochner-Riesz means with negative index of radial functions in Sobolev spaces ⋮ Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds

Cites Work

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• Inequalities for strongly singular convolution operators
• The multiplier problem for the ball
• On Singular Integrals
• Interpolation of Operators with Change of Measures
• The Weak Behavior of Spherical Means
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS
• A restriction theorem for the Fourier transform