Structure constants of the Weyl calculus

Details Structure constants of the Weyl calculus Structure constants of the Weyl calculus

2011-09-22

arxiv.org/abs/1109.4793v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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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