Authors: Alexander M Stokolos Walter Trebels
Publish Date: 2013/04/17
Volume: 34, Issue: 3-4, Pages: 373-380
Abstract
The main purpose of this article is to establish results concerning the rate of almost everywhere convergence of the AbelCartwright means W tγf of the multidimensional Fourier integral A typical result for these means is the following Let gamma 0 rm and f varepsilon Bs ppRnrm where 0 s gamma1 p infty⋌e Then for almost all x ∈ R n W tgammaf/Emphasis Emphasis Type= Bold x fx= o xgammats/Emphasis Emphasis Type= Bold t rightarrow 0 +⋌e
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