Convolution with oscillating kernels: Bochner-Riesz and spherical partial sums operators

DOI10.1007/BF02925232zbMath0742.42006OpenAlexW2088455126MaRDI QIDQ4713872

Elena Prestini

Publication date: 25 June 1992

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925232

zbMATH Keywords

Bochner-Riesz meansconvolution operatorsFourier integralsspherical summation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• On limits of sequences of operators
• The multiplier for the ball and radial functions
• Weak type endpoint bounds for Bochner-Riesz multipliers
• The boundedness of the maximal Bochner-Riesz operator on \(L^ 4\)(\(R^ 2\))
• Regularity of solutions to the Schrödinger equation
• Almost everywhere convergence of the spherical partial sums for radial functions
• Radial functions and regularity of solutions to the Schrödinger equation
• The multiplier problem for the ball
• A note on spherical summation multipliers
• On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions
• Weak Type Estimates for Bochner-Riesz Spherical Summation Multipliers
• Almost Everywhere Summability of Fourier Integrals
• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions
• The Weak Behavior of Spherical Means
• Oscillatory integrals and multiplier problem for the disc
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS

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