Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)
Tuomas Hytönen
Studia Mathematica, Tome 173 (2006), p. 125-147 / Harvested from The Polish Digital Mathematics Library
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We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space H¹(ℝⁿ) for the space H¹(ℝⁿ,X) of X-valued functions. Here X is a Banach space with the UMD property. The proof uses results of T. Figiel on generalized Calderón-Zygmund operators on Bochner spaces and some new local estimates.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:286376 
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Tuomas Hytönen. Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X). Studia Mathematica, Tome 173 (2006) pp. 125-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm172-2-2/