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Bilinear multipliers on Lorentz spaces

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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.

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Authors and Affiliations

  1. Departament d’Análisi Matemática, Universitat de Valéncia, 461 00 Burjassot, Valéncia, Spain

    Francisco Villarroya

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  1. Francisco Villarroya
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Correspondence to Francisco Villarroya.

Additional information

The author has been partially supported by grants DGESIC PB98-1246 and BMF 2002-04013.

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Villarroya, F. Bilinear multipliers on Lorentz spaces. Czech Math J 58, 1045–1057 (2008). https://doi.org/10.1007/s10587-008-0067-y

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  • DOI: https://doi.org/10.1007/s10587-008-0067-y

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