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On relations between operators on R^{N}, T^{N} and Z^{N}

P. AuscherM. Carro — 1992

Studia Mathematica

We study different discrete versions of maximal operators and g-functions arising from a convolution operator on R. This allows us, in particular, to complete connections with the results of de Leeuw [L] and Kenig and Tomas [KT] in the setting of the groups R^{N}, T^{N} and Z^{N}.

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