Maximal transference and summability of multilinear Fourier series
2006 ◽
Vol 80
(1)
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pp. 65-80
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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.
1973 ◽
Vol 185
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pp. 345-345
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2003 ◽
Vol 287
(1)
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pp. 90-100
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1968 ◽
Vol 44
(7)
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pp. 647-650
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1994 ◽
Vol 71
(1)
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pp. 2263-2268
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Keyword(s):
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2007 ◽
Vol 116
(3)
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pp. 209-221
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2010 ◽
Vol 162
(4)
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pp. 687-708
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2017 ◽
Vol 24
(5)
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pp. 1249-1275
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