$L^p$ estimates for multi-linear and multi-parameter pseudo-differential operators

Abstract

We establish the pseudo-differential variant of the $L^p$ estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in \cite{MPTT1,MPTT2}.

25 pages

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• $L^p$ estimates for bilinear and multi-parameter Hilbert transforms