Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups

DOI10.1006/jath.1998.3223zbMath0918.43007OpenAlexW2045775616WikidataQ115395643 ScholiaQ115395643MaRDI QIDQ1279887

Leszek Skrzypczak

Publication date: 17 August 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3223

zbMATH Keywords

Lie groupsRiemannian manifoldsheat and Poisson semigroupsspaces of Hardy-Sobolev-Besov type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items

Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds ⋮ On the duality of regular and local functions ⋮ Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings ⋮ Bernstein-Nikolskii and Plancherel-Polya inequalities in L_p-norms on non-compact symmetric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• Uniformly elliptic operators on Riemannian manifolds
• Analysis of the Laplacian on a complete Riemannian manifold
• Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds
• Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I
• How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie group?
• Heat semi-group and function spaces on symmetric spaces of non-compact type
• Characterizations of Function Spaces on a Complete RIEMANNian Manifold with Bounded Geometry
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Atomic decompositions on manifolds with bounded geometry
• The Triebel - Lizorkin Scale of Function Spaces for the Fourier - Helgason Transform
• Some Equivalent Norms in Sobolev-Besov Spaces on Symmetric Riemannian Manifolds
• Analysis on Lie groups