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On the Hormander classes of bilinear pseudodifferential operators II

On the Hormander classes of bilinear pseudodifferential operators II

Boundedness properties for pseudodifferential operators with symbols in the bilinear Hörmander classes of sufficiently negative order are proved.The results are obtained in the scale of Lebesgue spaces and, in some cases, end-point estimates involving weak-type spaces and BMO are provided as well.From the Lebesgue space estimates, Sobolev ones are then …