Lp-boundedness of flag kernels on homogeneous groups
Functional Analysis
2011-11-02 v2
Abstract
We prove that the flag kernel singular integral operators of Nagel-Ricci-Stein on a homogeneous group are bounded on the Lp spaces. The gradation associated with the kernels is the natural gradation of the underlying Lie algebra. Our main tools are the Littlewood-Paley theory and a symbolic calculus combined in the spirit of Duoandikoetxea and Rubio de Francia.
Cite
@article{arxiv.1006.2532,
title = {Lp-boundedness of flag kernels on homogeneous groups},
author = {Pawel Glowacki},
journal= {arXiv preprint arXiv:1006.2532},
year = {2011}
}
Comments
12 pages. See also http://www.math.uni.wroc.pl/~glowacki