Abstract
<div class="line" id="line-5"> The main purpose of this article is to establish results concerning the rate of almost everywhere convergence of the Abel-Cartwright means W t,γf of the multidimensional Fourier integral. A typical result for these means is the following: Let γ>0 and fεBsp,p(Rn)where 0<s<γ,1<p<∞.⋌e Then, for almost all x ∈ R n, Wt,γf (x)−f(x)=ox,γ(ts), t→0+ ⋌e.</div>
Original language | American English |
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Journal | Results in Mathematics |
Volume | 34 |
DOIs | |
State | Published - Nov 1998 |
Keywords
- Convergence of Abel-Cartwright Means
DC Disciplines
- Mathematics