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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Department Of Mathematics, Washington University, Box 1146, St. Louis, Missouri 63130, U.S.A.
  2. Departament de Matemátiques, Facultat de Ciences, Universitat Autónoma de Barcelona, 08193 Bellaterra (Barcelona), Spain

Abstract

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}.

Bibliography

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Studia Mathematica
1991-1992/101/2
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Pages:
165-182
Main language of publication
English
Received
1990-10-30
Published
1992
Exact and natural sciences