Lp-boundedness of flag kernels on homogeneous groups

Details Lp-boundedness of flag kernels on homogeneous groups Lp-boundedness of flag kernels on homogeneous groups

2010-06-13

arxiv.org/abs/1006.2532v2

Mathematics

Functional Analysis

12 pages. See also http://www.math.uni.wroc.pl/~glowacki

Scientific paper

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.

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