A weighted version of Journé's Lemma

Donald Krug, Alberto Torchinsky

Type: Article

Publication Date: 1994-08-31

Citations: 10

DOI: https://doi.org/10.4171/rmi/155

Abstract

In this paper we discuss a weighted version of Journe'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.

Locations

Revista Matemática Iberoamericana - View - PDF

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