On the Bilinear Hilbert Transform

نویسندگان

  • Michael T. Lacey
  • M. T. Lacey
چکیده

In joint work with C. Thiele, the author has shown that A. Calderón’s bilinear Hilbert transform extends to a bounded operator on certain products of L spaces. This article illustrates the method of proof by giving a complete proof of an inequality which is slightly weaker than the original conjecture of Calderón concerning this transform. 1991 Mathematics Subject Classification: 42A50

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تاریخ انتشار 1998