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Resumen de Maximal and Area Integral Characterizations of Hardy-Sobolev Spaces in the Unit Ball of Cn.

Patrick Ahern, Joaquim Bruna i Floris Árbol académico

  • In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of Cn, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of Hp itself involving only complex-tangential derivatives.


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