Structure Constants of the Weyl Calculus

Autores: Wen Deng
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 112, Nº 1, 2013, págs. 112-128
Idioma: inglés
Enlaces
- Texto completo
Resumen
- 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.