Vector-valued Hausdorff-Young inequality on compact groups
Functional Analysis
2007-05-23 v2 Representation Theory
Abstract
The main purpose of this paper is to study the validity of the Hausdorff-Young inequality for vector-valued functions defined on a non-commutative compact group. The natural context for this research is that of operator spaces. This leads us to formulate a whole new theory of Fourier type and cotype for the category of operator spaces. The present paper is the first step in this program, where the basic theory is presented, the main examples are analyzed and some questions are posed.
Keywords
Cite
@article{arxiv.math/0312241,
title = {Vector-valued Hausdorff-Young inequality on compact groups},
author = {José García-Cuerva and Javier Parcet},
journal= {arXiv preprint arXiv:math/0312241},
year = {2007}
}
Comments
To appear in Proc. London. Math. Soc. 30 pages