almost everywhere summability
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scholarly journals Maximal transference and summability of multilinear Fourier series

2006 ◽  
Vol 80 (1) ◽  
pp. 65-80 ◽  
Author(s):  
Loukas Grafakos ◽  
Petr Honzík
Keyword(s):  
Fourier Series ◽  
Multilinear Operators ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere ◽  
Transference Theorem ◽  
Almost Everywhere Summability

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.

Almost Everywhere Summability of Fourier Integrals

1988 ◽  
Vol s2-38 (3) ◽  
pp. 513-524 ◽  
Author(s):  
Anthony Carbery ◽  
José L. Rubio de Francia ◽  
Luis Vega
Keyword(s):  
Almost Everywhere ◽  
Almost Everywhere Summability ◽  
Fourier Integrals
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