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arXiv · 1006.2532

Lp-boundedness of flag kernels on homogeneous groups

Pawel Glowacki
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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.

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Pawel Glowacki. 2011-11-01. Lp-boundedness of flag kernels on homogeneous groups. https://arxiv.org/abs/1006.2532

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