Vector-valued Hausdorff-Young inequality on compact groups
泛函分析
2007-05-23 v2 表示论
摘要
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.
引用
@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}
}
备注
To appear in Proc. London. Math. Soc. 30 pages