TY - JOUR AU - Deng, Wen PY - 2013/03/01 Y2 - 2024/03/28 TI - Structure Constants of the Weyl Calculus JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 112 IS - 1 SE - Articles DO - 10.7146/math.scand.a-15236 UR - https://www.mscand.dk/article/view/15236 SP - 112-128 AB - 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. ER -