Almost everywhere convergence of the spherical partial sums for radial functions

DOI10.1007/BF01636929zbMath0639.42010MaRDI QIDQ1100379

Elena Prestini

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/178376

zbMATH Keywords

radial function

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (14)

Almost everywhere convergence of the inverse spherical transform on \(\text{SL}(2,\mathbb{R})\) ⋮ On the capacity of sets of divergence associated with the spherical partial integral operator ⋮ Lipschitz-Hankel spaces and partial Hankel integrals ⋮ Weighted bounds for the Carleson maximal operator in \(\mathbb{R}^ n\) ⋮ Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces ⋮ New weighted estimates for the disc multiplier on radial functions ⋮ Radial functions and regularity of solutions to the Schrödinger equation ⋮ Equiconvergence theorems for Sturm Liouville expansions and sets of divergence for Bochner Riesz means in Sobolev spaces ⋮ Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform ⋮ Weighted inequalities for the Stieltjes transform and the maximal spherical partial sum operator on radial functions ⋮ Endpoint Estimates for the Maximal Operator Associated to Spherical Partial Sums on Radial Functions ⋮ Convolution with oscillating kernels: Bochner-Riesz and spherical partial sums operators ⋮ Bochner-Riesz means with negative index of radial functions in Sobolev spaces ⋮ On almost everywhere convergence

Cites Work

• Unnamed Item
• The multiplier for the ball and radial functions
• The multiplier problem for the ball
• The Weak Behavior of Spherical Means
• A weighted norm inequality for Fourier series
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS

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