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Maximal transference and summability of multilinear Fourier series
Published online by Cambridge University Press: 09 April 2009
Abstract
We 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.
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- Copyright © Australian Mathematical Society 2006
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