Geodesic
Vector-valued wavelets and the Hardy space $H^1({\Bbb R}^n,X)$
Tuomas Hytönen 1
1 Department of Mathematics University of Turku FI-20014 Turku, Finland
Studia Mathematica, Tome 172 (2006) no. 2, pp. 125-147 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space $H^1(\Bbb R^n)$ for the space $H^1(\Bbb R^n,X)$ 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.
DOI : 10.4064/sm172-2-2
Keywords: prove analogue nbsp meyers wavelet characterization hardy space bbb space bbb x valued functions here banach space umd property proof uses results nbsp figiel generalized calder zygmund operators bochner spaces local estimates

Tuomas Hytönen  1

1 Department of Mathematics University of Turku FI-20014 Turku, Finland 
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Tuomas Hytönen. Vector-valued wavelets and the
Hardy space $H^1({\Bbb R}^n,X)$. Studia Mathematica, Tome 172 (2006) no. 2, pp. 125-147. doi: 10.4064/sm172-2-2

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