A weighted version of Journé's lemma.

Krug, Donald, and Torchinsky, Alberto. "A weighted version of Journé's lemma.." Revista Matemática Iberoamericana 10.2 (1994): 363-378. <http://eudml.org/doc/39449>.

@article{Krug1994,
abstract = {In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R2 where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces Hu'p (R+2 x R+2) and a description of their duals when p is close to 1.},
author = {Krug, Donald, Torchinsky, Alberto},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Hardy; Funciones de peso; Muckenhoupt -condition on rectangles; Journé’s covering lemma; weighted Hardy spaces},
language = {eng},
number = {2},
pages = {363-378},
title = {A weighted version of Journé's lemma.},
url = {http://eudml.org/doc/39449},
volume = {10},
year = {1994},
}

TY - JOUR
AU - Krug, Donald
AU - Torchinsky, Alberto
TI - A weighted version of Journé's lemma.
JO - Revista Matemática Iberoamericana
PY - 1994
VL - 10
IS - 2
SP - 363
EP - 378
AB - In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R2 where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces Hu'p (R+2 x R+2) and a description of their duals when p is close to 1.
LA - eng
KW - Espacios de Hardy; Funciones de peso; Muckenhoupt -condition on rectangles; Journé’s covering lemma; weighted Hardy spaces
UR - http://eudml.org/doc/39449
ER -