Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of Cn.

Ahern, Patrick, and Bruna, Joaquim. "Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of Cn.." Revista Matemática Iberoamericana 4.1 (1988): 123-153. <http://eudml.org/doc/39353>.

@article{Ahern1988,
abstract = {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.},
author = {Ahern, Patrick, Bruna, Joaquim},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de funciones holomorfas; Bola unidad; Espacios de Hardy; Hardy-Sobolev spaces; Hardy spaces; Littlewood-Paley functions},
language = {eng},
number = {1},
pages = {123-153},
title = {Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of Cn.},
url = {http://eudml.org/doc/39353},
volume = {4},
year = {1988},
}

TY - JOUR
AU - Ahern, Patrick
AU - Bruna, Joaquim
TI - Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of Cn.
JO - Revista Matemática Iberoamericana
PY - 1988
VL - 4
IS - 1
SP - 123
EP - 153
AB - 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.
LA - eng
KW - Espacios de funciones holomorfas; Bola unidad; Espacios de Hardy; Hardy-Sobolev spaces; Hardy spaces; Littlewood-Paley functions
UR - http://eudml.org/doc/39353
ER -