On linear means of multiple Fourier integrals defined by special domains.

DOI10.1216/RMJM/1034968426zbMath1039.42017OpenAlexW1988781512MaRDI QIDQ1414959

Elijah Liflyand, A. D. Nakhman

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-3/CONT32-3/CONT32-3.html

zbMATH Keywords

Bochner-Riesz meansHardy-Littlewood maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Almost everywhere convergence of Fourier integrals revisited

Cites Work

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• Estimates from below for Lebesgue constants
• L p Norms of Certain Kernels on the N-Dimensional Torus
• Two Weight Function Norm Inequalities for the Poisson Integral
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted norm inequalities for the Hardy-Little-wood maximal function for one parameter rectangles
• Summation of Multiple Fourier Series by Spherical Means

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