Anisotropic Function Spaces on Singular Manifolds

摘要: A rather complete investigation of anisotropic Bessel potential, Besov, and H\"older spaces on cylinders over (possibly) noncompact Riemannian manifolds with boundary is carried out. The geometry the underlying manifold near its 'ends' determined by a singularity function which leads naturally to study weighted spaces. Besides derivation Sobolev-type embedding results, sharp trace theorems, point-wise multiplier properties, interpolation characterizations particular emphasize put distinguished conditions. This work fundament for analysis time-dependent partial differential equations singular manifolds.