Schauder decompositions and multiplier theorems
Volume 138 / 2000
Studia Mathematica 138 (2000), 135-163
DOI: 10.4064/sm-138-2-135-163
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 $L^p$-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.
