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Bilinear multipliers on Lorentz spaces
Authors:Francisco Villarroya
Affiliation:(1) Departament d’Análisi Matemática, Universitat de Valéncia, 461 00 Burjassot, Valéncia, Spain
Abstract:We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform. The author has been partially supported by grants DGESIC PB98-1246 and BMF 2002-04013.
Keywords:bilinear Hilbert transform  bilinear multipliers  Lorentz spaces
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