Boundedness of multilinear pseudo-differential operators of S-0,S-0-type in L-2-based amalgam spaces

摘要

We consider the multilinear pseudo-differential operators with symbols in a generalized S-0,S-0-type class and prove the boundedness of the operators from (L-2, l(q1)) x ... x (L-2, l(qN)) to (L-2, l(r)), where (L-2, l(q)) denotes the L-2-based amalgam space. This extends the previous result by the same authors, which treated the bilinear pseudo-differential operators and gave the L-2 x L-2 to (L-2, l(1)) boundedness.