Factorization theorem for product Hardy spaces

Wengu Chen; Yongsheng Han; Changxing Miao

Studia Mathematica (2006)

  • Volume: 177, Issue: 3, page 235-249
  • ISSN: 0039-3223

Abstract

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We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.

How to cite

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Wengu Chen, Yongsheng Han, and Changxing Miao. "Factorization theorem for product Hardy spaces." Studia Mathematica 177.3 (2006): 235-249. <http://eudml.org/doc/285062>.

@article{WenguChen2006,
abstract = {We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.},
author = {Wengu Chen, Yongsheng Han, Changxing Miao},
journal = {Studia Mathematica},
keywords = {factorization theorems; product Hardy spaces; bilinear form; BMO},
language = {eng},
number = {3},
pages = {235-249},
title = {Factorization theorem for product Hardy spaces},
url = {http://eudml.org/doc/285062},
volume = {177},
year = {2006},
}

TY - JOUR
AU - Wengu Chen
AU - Yongsheng Han
AU - Changxing Miao
TI - Factorization theorem for product Hardy spaces
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 3
SP - 235
EP - 249
AB - We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.
LA - eng
KW - factorization theorems; product Hardy spaces; bilinear form; BMO
UR - http://eudml.org/doc/285062
ER -

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