scholarly journals A strengthening of Mahler's transference theorem

2015 ◽  
Vol 79 (1) ◽  
pp. 60-73 ◽  
Author(s):  
O N German ◽  
K G Evdokimov
Keyword(s):  
Transference Theorem

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.

scholarly journals A TRANSFERENCE THEOREM FOR ERGODIC H1

1997 ◽  
Vol 48 (4) ◽  
pp. 417-430
Author(s):  
NAKHLÉ ASMAR ◽  
STEPHEN MONTGOMERY-SMITH
Keyword(s):  
Transference Theorem

A NOTE ON A TRANSFERENCE THEOREM OF LINEAR FORMS

2005 ◽  
pp. 205-209
Author(s):  
WOLFGANG M. SCHMIDT ◽  
YUAN WANG
Keyword(s):  
Linear Forms ◽  
Transference Theorem
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