Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2

DOI10.4064/sm154-1-4zbMath1035.42014OpenAlexW2069151909WikidataQ115217603 ScholiaQ115217603MaRDI QIDQ4790215

Thierry Coulhon, Xuan Thinh Duong, Xiang Dong Li

Publication date: 28 January 2003

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm154-1-4

zbMATH Keywords

heat kernelPoisson kernelweak type (1,1)Littlewood-Paley-Stein functionals

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Functional calculus of Laplace transform type on non-doubling parabolic manifolds with ends ⋮ A Littlewood-Paley type decomposition and weighted Hardy spaces associated with operators ⋮ Littlewood-Paley-Stein functions for non-local Schrödinger operators ⋮ Littlewood-Paley functionals on graphs ⋮ Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds ⋮ Vertical and horizontal square functions on a class of non-doubling manifolds ⋮ Weighted \(L^p\) estimates for the area integral associated to self-adjoint operators ⋮ Littlewood-Paley and Lusin functions on nilpotent Lie groups ⋮ Boundedness of the discrete square function on nondoubling parabolic manifolds with ends ⋮ Littlewood-Paley and Lusin functions on stratified groups ⋮ Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces ⋮ Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound ⋮ Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\). ⋮ Littlewood-Paley decompositions on manifolds with ends ⋮ Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces ⋮ Riesz transforms for bounded Laplacians on graphs ⋮ Littlewood-Paley-Stein estimates for non-local Dirichlet forms ⋮ Littlewood-Paley-Stein functions for Hodge-de Rham and Schrödinger operators ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ Weighted Littlewood-Paley inequalities for heat flows in RCD spaces ⋮ Littlewood-Paley inequalities on manifolds with ends ⋮ Quadratic sparse domination and weighted estimates for non-integral square functions ⋮ Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

This page was built for publication: Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2