Quantitative Weighted Endpoint Estimates for Multilinear Pseudo-differential Operators

Abstract

In this paper, we establish the quantitative weighted endpoint estimates for multilinear pseudo-differential operators. The corresponding conclusions for multilinear square functions are also obtained. These were mainly done by using the Nazarov–Treil–Volberg’s method in conjunction with some ideas from Stockdale.

Keywords

Multilinear pseudo-differential operators / symbols of Hörmander class / weights / endpoint estimates / 42B20 / 42B25

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