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: Litllewood-Paley functionals; Markov operator; Graphs

Domaines: Analyse fonctionnelle [math.FA]

Joseph Feneuil. Littlewood-Paley functionals on graphs. Mathematical News / Mathematische Nachrichten, 2015, http://onlinelibrary.wiley.com/doi/10.1002/mana.201400119/abstract. ⟨10.1002/mana.201400119⟩. ⟨hal-00973822v2⟩