From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$

Wael Abu-Shammala, Alberto Torchinsky

Type: Article

Publication Date: 2008-01-01

Citations: 2

DOI: https://doi.org/10.1215/ijm/1248355358

Abstract

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.

Locations

Illinois Journal of Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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Works Cited by This (9)

Action	Title	Year	Authors
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia
+	Characterizations of the Hardy Space $H^1$ and BMO	2005	Wael Abu-Shammala Ji‐Liang Shiu Alberto Torchinsky
+	Image Decomposition Using Total Variation and div(<i>BMO</i>)	2005	Triet Le Luminita A. Vese
+ PDF Chat	BMO from dyadic BMO	1982	John B. Garnett Peter W. Jones
+ PDF Chat	BMO is the intersection of two translates of dyadic BMO	2003	Tao Mei
+	Spaces formed by special atoms I	1984	Geraldo Soares de Souza
+	Parabolic maximal functions associated with a distribution, II	1977	A. P. Calderón Alberto Torchinsky
+	Approximation and Spanning in the Hardy Space, by Affine Systems	2007	H.-Q. Bui Richard S. Laugesen
+	Transition from the dyadic to the real nonperiodic Hardy space.	2000	S. Fridli