Sharp Fourier type and cotype with respect to compact semisimple Lie groups
Representation Theory
2007-05-23 v1 Group Theory
Abstract
Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with respect to an arbitrary compact semisimple Lie group are investigated. In the process, a local variant of the Hausdorff-Young inequality on such groups is given.
Keywords
Cite
@article{arxiv.math/0312244,
title = {Sharp Fourier type and cotype with respect to compact semisimple Lie groups},
author = {José García-Cuerva and José Manuel Marco and Javier Parcet},
journal= {arXiv preprint arXiv:math/0312244},
year = {2007}
}
Comments
18 pages