A Littlewood-Paley-Stein estimate on graphs and groups
Nick Dungey
Studia Mathematica, Tome 187 (2008), p. 113-129 / Harvested from The Polish Digital Mathematics Library
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We establish the boundedness in Lq spaces, 1 < q ≤ 2, of a “vertical” Littlewood-Paley-Stein operator associated with a reversible random walk on a graph. This result extends to certain non-reversible random walks, including centered random walks on any finitely generated discrete group.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:285078 
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Nick Dungey. A Littlewood-Paley-Stein estimate on graphs and groups. Studia Mathematica, Tome 187 (2008) pp. 113-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-2-3/