Almost orthogonality and a class of bounded bilinear pseudodifferential operators

Several results and techniques that generate bilinear alternatives of a celebrated theorem of Calderón and Vaillancourt about the $L^2$ continuity of linear pseudodifferential operators with symbols with bounded derivatives are presented. The classes of bilinear pseudodifferential symbols considered are shown to produce continuous operators from $L^2\times L^2$ into $L^1$.

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Published 1 January 2004