Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds

DOI10.1007/BF02384402zbMath0664.46026WikidataQ115392361 ScholiaQ115392361MaRDI QIDQ1114900

Hans Triebel

Publication date: 1986

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

real interpolationcomplete Riemannian manifoldBessel kernelsdifferentiability and smoothness conditionsuniformity conditions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35) Manifolds of mappings (58D15)

Related Items

Heat semi-group and function spaces on symmetric spaces of non-compact type ⋮ Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds ⋮ Analysis-aware defeaturing: Problem setting and a posteriori estimation ⋮ Continuous and discrete least-squares approximation by radial basis functions on spheres ⋮ Besov and Triebel-Lizorkin spaces on Lie groups ⋮ Non-local equations and optimal Sobolev inequalities on compact manifolds ⋮ Local smoothing and Hardy spaces for Fourier integral operators on manifolds ⋮ Characterizations of Function Spaces on a Complete RIEMANNian Manifold with Bounded Geometry ⋮ Partial data inverse problems for quasilinear conductivity equations ⋮ On the boundedness of functions of (pseudo-) differential operators on compact manifolds ⋮ Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization ⋮ Propagation of low regularity for solutions of nonlinear PDEs on a riemannian manifold with a sub-Laplacian structure ⋮ Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry ⋮ Smooth orthogonal projections on Riemannian manifold ⋮ Wave equation on Riemannian symmetric spaces ⋮ Spectra of expanding maps on Besov spaces ⋮ Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces ⋮ Geometric space-frequency analysis on manifolds ⋮ Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds ⋮ Function spaces on singular manifolds ⋮ Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation ⋮ $L^p$ Bernstein estimates and approximation by spherical basis functions ⋮ Unnamed Item ⋮ Bernstein-Nikolskii and Plancherel-Polya inequalities in L_p-norms on non-compact symmetric spaces ⋮ On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces ⋮ Parseval wavelet frames on Riemannian manifold ⋮ Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups ⋮ Semi-Smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints ⋮ Potential Spaces on Lie Groups ⋮ Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces ⋮ Infinitely many sign-changing solutions of a critical fractional equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of the Laplacian on a complete Riemannian manifold
• Characterizations of Besov-Hardy-Sobolev spaces: A unified approach
• Besov spaces and Sobolev spaces on a nilpotent Lie group
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• On spaces of Triebel-Lizorkin type
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Properties of functions in the spaces \(\Lambda^r_{p,\theta}\)
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• Lipschitz Spaces on Stratified Groups
• Besov Spaces on Compact Lie Groups
• Characterizations of Function Spaces on a Complete RIEMANNian Manifold with Bounded Geometry
• Lipschitz classes and Poisson integrals on stratified groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• The Hardy Space H¹ on Manifolds and Submanifolds
• Riemannian geometry