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Littlewood-Paley functionals on graphs

Published 4 Apr 2014 in math.FA | (1404.1353v2)

Abstract: Let $\Gamma$ be a graph equipped with a Markov operator $P$. We introduce discrete fractional Littlewood-Paley square functionals and prove their $Lp$-boundedness under various geometric assumptions on $\Gamma$.

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