Boundedness of multilinear pseudo-differential operators of $S_{0,0}$-type in $L^2$-based amalgam spaces

We consider the multilinear pseudo-differential operators with symbols in a generalized $S_{0,0}$-type class and prove boundedness of from $(L^2, \ell^{q_1}) \times \cdots (L^2, \ell^{q_{N}})$ to \ell^{r})$, where \ell^{q})$ denotes $L^2$-based amalgam space. This extends previous result by same authors, which treated bilinear gave $L^2 L^2$ \ell^{1})$ boundedness.