Riesz means on Lie groups and riemannian manifolds of nonnegative curvature

DOI10.24033/bsmf.2229zbMath0832.22014OpenAlexW2264327117WikidataQ115228340 ScholiaQ115228340MaRDI QIDQ4301849

Noël Lohoué, Georgios K. Alexopoulos

Publication date: 11 August 1994

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1994__122_2_209_0

zbMATH Keywords

maximal operatorsRiesz meansLaplace Beltrami operatorleft-invariant sub-laplacians

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (12)

Riesz means on locally symmetric spaces ⋮ Unnamed Item ⋮ Riesz means on symmetric spaces ⋮ On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates ⋮ Riesz transforms on \(ax+b\) groups ⋮ Riesz means on graphs and discrete groups ⋮ Spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates ⋮ \(L^p\)-boundedness of oscillating spectral multipliers on Riemannian manifolds ⋮ Musielak-Orlicz-Hardy spaces associated with operators and their applications ⋮ Riesz means on homogeneous trees ⋮ A spectral multiplier theorem for non-self-adjoint operators ⋮ Estimations of the heat kernel on conic manifolds and applications

Cites Work

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• Small time Gaussian estimates of heat diffusion kernels. II: The theory of large deviations
• Localization and summability of multiple Fourier series
• Harmonic analysis on semigroups
• Weak type endpoint bounds for Bochner-Riesz multipliers
• Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds
• Balls and metrics defined by vector fields. I: Basic properties
• On the parabolic kernel of the Schrödinger operator
• On the convergence of Riesz means on compact manifolds
• Weak type (1,1) bounds for rough operators
• The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Vector-valued multipliers on stratified groups
• Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces
• Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• Almost Everywhere Summability on Nilmanifolds
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Croissance polynomiale et périodes des fonctions harmoniques
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• The structure of complete manifolds of nonnegative curvature
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Analysis on Lie groups

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