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ArticleOriginal scientific text

Title

Schauder decompositions and multiplier theorems

Authors 1, 2, 3, 2

Affiliations

  1. Department of Mathematics, Faculty ITS, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands.
  2. Department of Mathematics, Faculty ITS, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
  3. Department of Mathematics and Statistics, The Flinders University of South Australia, G.P.O. Box 2100 Adelaide, South Australia 5001, Australia

Abstract

We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for Lp-spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.

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Studia Mathematica
2000/138/2
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Pages:
135-163
Main language of publication
English
Received
1998-10-27
Published
1999-11-22
Exact and natural sciences