Boundedness of bilinear operators with nonsmooth symbols

نویسندگان

  • John Gilbert
  • Andrea Nahmod
  • John E. Gilbert
  • Andrea R. Nahmod
چکیده

We announce the Lp-boundedness of general bilinear operators associated to a symbol or multiplier which need not be smooth. We establish a general result for multipliers that are allowed to have singularities along the edges of a cone as well as possibly at its vertex. It thus unifies ealier results of CoifmanMeyer for smooth multipliers and ones, such the Bilinear Hilbert transform of Lacey-Thiele, where the multiplier is not smooth.

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تاریخ انتشار 2000