Pseudo-Differential Operators in $F^s_{p,q}$-Spaces

Abstract

If $a(x, \xi) \in S^0_{1, \delta}$ $0 ≤ \delta < 1$, then the pseudo-differential operator $a(x,D)$ is continuous in $F^s_{p,q}$, where $–\infty < s < \infty$ and either $0 < p < \infty, 0 < q ≤ \infty$ or $p = q = \infty$.