Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups

DOI10.1006/jfan.1999.3517zbMath0957.22013OpenAlexW1985333761MaRDI QIDQ1968735

Detlef Müller, Jean Ludwig

Publication date: 25 March 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3517

zbMATH Keywords

perturbation theoryexponential solvable Lie group\(AN\)-group\(L^p\)-multiplier

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Related Items (14)

Holomorphy of spectral multipliers of the Ornstein--Uhlenbeck operator ⋮ Spectral multipliers on a class of \(NA\) groups with rank two ⋮ Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales ⋮ Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups ⋮ Spectral multipliers for Laplacians with drift on Damek-Ricci spaces ⋮ A smooth family of intertwining operators ⋮ Spectral multipliers on some rank one \(NA\)-groups with roots not all positive ⋮ Nilpotent Lie groups: Fourier inversion and prime ideals ⋮ A.e. convergence of spectral sums on Lie groups ⋮ Holomorphic \(L^p\)-type for sub-Laplacians on connected Lie groups ⋮ Spectral theory for commutative algebras of differential operators on Lie groups ⋮ Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth ⋮ Analysis of the Hodge Laplacian on the Heisenberg group ⋮ Spectral multipliers for sub-Laplacians with drift on Lie groups

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