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hal-00003581, version 1

Truncations of multilinear Hankel operators

Aline Bonami () 1, Sandrine Grellier () 1, Mohammad Kacim 1

Transactions of the American Mathematical Society 360, 3 (2008) 1377-1390

Abstract: We extend to multilinear Hankel operators the fact that some truncations of bounded Hankel operators are bounded. We prove and use a continuity property of bilinear Hilbert transforms on products of Lipschitz spaces and Hardy spaces.

  • 1:  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
  • Université d'Orléans – CNRS : UMR7349
  • Domain : Mathematics/Complex Variables
    Mathematics/Classical Analysis and ODEs
  • Keywords : Hankel operator – truncation – Hardy spaces – Lipschitz spaces – bilinear Hilbert transform
 
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  • From: Sandrine Grellier <>
  • Submitted on: Wednesday, 15 December 2004 11:05:46
  • Updated on: Tuesday, 2 March 2010 17:44:53