Littlewood-Paley functionals on graphs

Joseph Feneuil (1)

1 IF - Institut Fourier

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

Mots clés: Graphs; Litllewood-Paley functionals; Markov operator

Domaines: Analyse fonctionnelle [math.FA]

Joseph Feneuil. Littlewood-Paley functionals on graphs. 2014. ⟨hal-00973822v1⟩