L p Norms of Certain Kernels on the N-Dimensional Torus

DOI10.2307/1998444zbMath0503.42019OpenAlexW2798315149MaRDI QIDQ3969348

Paolo M. Soardi, Leonardo Colzani

Publication date: 1981

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998444

zbMATH Keywords

Besov spacesBochner-Riesz kernelscomplex-valued bounded functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (8)

Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients ⋮ On the Bochner-Riesz means of critical order ⋮ On linear means of multiple Fourier integrals defined by special domains. ⋮ A Hardy-Littlewood theorem for multiple series ⋮ Anisotropic norms of Dirichlet kernels and some other trigonometric polynomials ⋮ On the asymptotics of the Bochner-Riesz kernel on compact Lie groups ⋮ Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds

This page was built for publication: L p Norms of Certain Kernels on the N-Dimensional Torus