Maximal transference and summability of multilinear Fourier series-Reference-Cited by-同舟云学术

Maximal transference and summability of multilinear Fourier series

Published:2006-02 Issue:1 Volume:80 Page:65-80
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Grafakos Loukas,Honzík Petr

Abstract

AbstractWe obtain a maximal transference theorem that relates almost everywhere convergence of multilinear Fourier series to boundedness of maximal multilinear operators. We use this and other recent results on transference and multilinear operators to deduce Lp and almost everywhere summability of certain m–linear Fourier series. We formulate conditions for the convergence of multilinear series and we investigate certain kinds of summation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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