A weighted version of Journé's Lemma

Autores: Alberto Torchinsky, D. Krug
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 10, Nº 2, 1994, págs. 363-378
Idioma: inglés
DOI: 10.4171/rmi/155
Títulos paralelos:
- Una versión ponderada del lema de Journé.
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Resumen
- 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.