Lp-boundedness of flag kernels on homogeneous groups
arXiv:1006.2532
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.
arXiv comment12 pages. See also http://www.math.uni.wroc.pl/~glowacki