Maximal transference and summability of multilinear Fourier series

• Autores: Loukas Grafakos, Petr Honzík
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 80, Nº 1, 2006, págs. 65-80
• Idioma: inglés
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• Resumen

  • 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.