J. Aust. Math. Soc.
80 (2006), 65-80
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Maximal transference and summability of multilinear Fourier series
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Petr Honzík
Department of Mathematics
Michigan State University
East Lansing MI 48824
USA
petrhonz@math.msu.edu
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Abstract
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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
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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Australian Mathematical Publishing Association Inc.
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©
Australian MS
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