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arxiv: 1206.4462 · v5 · pith:5BWW63OEnew · submitted 2012-06-20 · 🧮 math.AP · math.SP

A Remark on Littlewood-Paley projections

classification 🧮 math.AP math.SP
keywords littlewood-paleyprojectionsassociatedclasscorollarydeltaestablishestimates
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We establish the kernel estimates for the Littlewood-Paley projections associated with a Schr\"odinger operator H=-\Delta+V in \mathbb{R}^3 for a large class of short-range potentials V(x). As a corollary, we prove the homogeneous Sobolev inequality.

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