Estimates for functions of the Laplace operator on homogeneous trees

DOI10.1090/S0002-9947-00-02460-0zbMath0949.43008OpenAlexW1585918250MaRDI QIDQ4485738

Alberto G. Setti, Stefano Meda, Michael G. Cowling

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02460-0

zbMATH Keywords

spherical functionsheat semigroupheat kernelsLaplace-Beltrami operatorshomogeneous trees

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on (p)-adic Lie groups (22E35) Harmonic analysis and spherical functions (43A90) Groups acting on trees (20E08)

Related Items (22)

A theorem of Roe and Strichartz on homogeneous trees ⋮ Best constants for the Hardy-Littlewood maximal operator on finite graphs ⋮ Stable semigroups on homogeneous trees and hyperbolic spaces ⋮ Generalized uncertainty inequalities ⋮ Riesz transform for a flow Laplacian on homogeneous trees ⋮ Dynamics of semigroups generated by analytic functions of the Laplacian on homogeneous trees ⋮ Discrete diffusion-type equation on regular graphs and its applications ⋮ Analysis on trees with nondoubling flow measures ⋮ Variable exponent Hardy spaces associated with discrete Laplacians on graphs ⋮ Heat kernels on regular graphs and generalized Ihara zeta function formulas ⋮ Poincaré and Hardy Inequalities on Homogeneous Trees ⋮ On the spherical maximal function on finite graphs ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ 𝐿^{𝑝} and operator norm estimates for the complex time heat operator on homogeneous trees ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property ⋮ Riesz means on homogeneous trees ⋮ Sobolev regularity of maximal operators on infinite connected graphs ⋮ On the variation of the Hardy-Littlewood maximal functions on finite graphs ⋮ The wave equation on homogeneous trees ⋮ Transition fronts of Fisher-KPP equations in locally spatially inhomogeneous patchy environments ⋮ Hardy spaces on homogeneous trees with flow measures ⋮ Mapping properties of maximal operators on infinite connected graphs

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