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arXiv · 1109.4793

Structure constants of the Weyl calculus

Wen Deng
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Abstract

We find some explicit bounds on the ${\mathcal L}(L^2)$-norm of pseudo-differential operators with symbols defined by a metric on the phase space. In particular, we prove that this norm depends only on the "structure constants" of the metric and a fixed semi-norm of the symbol. Analogous statements are made for the Fefferman-Phong inequality.

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Wen Deng. 2011-09-22. Structure constants of the Weyl calculus. https://arxiv.org/abs/1109.4793

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