A Littlewood-Paley-Stein estimate on graphs and groups

• Autorzy: Nick Dungey
• Języki publikacji: EN

Abstrakty

EN

We establish the boundedness in $L^{q}$ 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.

Kategorie tematyczne

• 60B15: Probability measures on groups or semigroups, Fourier transforms, factorization
• 60G50: Sums of independent random variables; random walks
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 189
• Numer: 2
• Strony: 113-129

Daty

wydano

2008

Twórcy

autor

Nick Dungey

• Department of Mathematics, Macquarie University, Sydney, NSW 2109, Australia

Identyfikatory

DOI

10.4064/sm189-2-3