Singular Integrals with Flag Kernels on Homogeneous Groups: I

Details Singular Integrals with Flag Kernels on Homogeneous Groups: I Singular Integrals with Flag Kernels on Homogeneous Groups: I

2011-07-31

arxiv.org/abs/1108.0177v1

Mathematics

Functional Analysis

92 pages

Scientific paper

Let $\mathcal K$ be a flag kernel on a homogeneous nilpotent Lie group $G$.
We prove that operators $T$ of the form $T(f)= f*\mathcal K$ form an algebra
under composition, and that such operators are bounded on $L^{p}(G)$ for
$1

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