Open Access
Summer 2008 From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$
Wael Abu-Shammala, Alberto Torchinsky
Illinois J. Math. 52(2): 681-689 (Summer 2008). DOI: 10.1215/ijm/1248355358


In this paper, we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge0$, using the dyadic grid. This result is a consequence of the description of the Hardy spaces $H^p(\mathbb{R}^N)$ in terms of dyadic and special atoms.


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Wael Abu-Shammala. Alberto Torchinsky. "From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$." Illinois J. Math. 52 (2) 681 - 689, Summer 2008.


Published: Summer 2008
First available in Project Euclid: 23 July 2009

zbMATH: 1174.42022
MathSciNet: MR2524660
Digital Object Identifier: 10.1215/ijm/1248355358

Primary: 42B30 , 42B35

Rights: Copyright © 2008 University of Illinois at Urbana-Champaign

Vol.52 • No. 2 • Summer 2008
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