Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces

DOI10.1007/s11118-016-9590-xzbMath1362.42045OpenAlexW2526281388WikidataQ59526364 ScholiaQ59526364MaRDI QIDQ525070

Hong-Quan Li, Peter Sjögren

Publication date: 28 April 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-016-9590-x

zbMATH Keywords

Riesz transformLaplacian with driftreal hyperbolic spaceLittlewood-Paley-Stein function

Mathematics Subject Classification ID

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

Related Items (6)

Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators ⋮ Littlewood–Paley–Stein operators on Damek–Ricci spaces ⋮ The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak type \((1,1)\) of some operators for the Laplacian with drift
• Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth
• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• Harmonic analysis on solvable extensions of H-type groups
• Multipliers and singular integrals on exponential growth groups
• La fonction maximale de Hardy--Littlewood sur une classe d'espaces métriques me\-su\-ra\-bles. (The Hardy--Littlewood maximal function on some metric measure spaces).
• Optimal estimates of the heat kernel on cuspidal varieties
• Hardy-Littlewood maximal functions for measure on cusped manifolds.
• Uncentered maximal functions on cusp-type manifolds
• Weak Type (1, 1) Estimates for Heat Kernel Maximal Functions on Lie Groups
• Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
• An estimate for a first-order Riesz operator on the affine group
• Sur les transformées de Riesz dans le cas du Laplacien avec drift
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

This page was built for publication: Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces