Restricting to $K$ -invariant functions we prove $\bm{L}^p$ boundedness of Fourier multipliers satisfying Hörmander-Mihlin conditions on Non-Riemannian Symmetric Spaces using Flensted-Jensen duality. We also show necessity of holomorphic extension for multipliers.
Publié le : 2005-01-14
Classification:
multipliers,
symmetric spaces,
43A22
@article{1160745826,
author = {NILSSON, Andreas},
title = {Fourier multipliers on non-Riemannian symmetric spaces},
journal = {J. Math. Soc. Japan},
volume = {57},
number = {4},
year = {2005},
pages = { 295-308},
language = {en},
url = {http://dml.mathdoc.fr/item/1160745826}
}
NILSSON, Andreas. Fourier multipliers on non-Riemannian symmetric spaces. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp. 295-308. http://gdmltest.u-ga.fr/item/1160745826/