Home > Articles > Published articles > Why the Riesz transforms are averages of the dyadic shifts? |
Date: | 2002 |
Abstract: | The first author showed in [18] that the Hilbert transform lies in the closed convex hull of dyadic singular operators -so-called dyadic shifts. We show here that the same is true in any Rn -the Riesz transforms can be obtained as the results of averaging of dyadic shifts. The goal of this paper is almost entirely methodological: we simplify the previous approach, rather than presenting the new one. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Riesz transforms ; Haar functions ; Dyadic shift ; Dyadic lattice ; Rectifiable measures ; Menger's curvature |
Published in: | Publicacions matemàtiques, Vol. Extra (2002) , p. 209-228, ISSN 2014-4350 |
20 p, 289.8 KB |