Hardy space estimates for multilinear operators, I.

• Autores: Loukas Grafakos, Ronald Raphaël Coifman
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 8, Nº 1, 1992, págs. 45-68
• Idioma: inglés
• Títulos paralelos:
  • Estimaciones de espacio de Hardy para operadores multilineales (I).
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• Resumen

  • In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the Hp space context.