Weighted estimates for multilinear pseudodifferential operators

Authors
Li, Kang Wei Sun, Wen Chang
Citation
Li, Kang Wei et Sun, Wen Chang, Weighted estimates for multilinear pseudodifferential operators, Acta mathematica Sinica. English series (Print) , 30(8), 2014, pp. 1281-1288
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
8
Year of publication
2014
Pages
1281 - 1288
Database
ACNP
SICI code
Abstract
In this paper, we study the weighted estimates for multilinear pseudodifferential operators. We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions. Our result generalizes similar ones from the classical A p weights to multiple weights.