$$H^{\varvec{\infty }}$$H∞ Interpolation and Embedding Theorems for Rational Functions
Sign Up to like & getrecommendations! Published in 2019 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-019-2514-6
Abstract: We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc $$\mathbb {D}$$D constrained by Hardy and radial-weighted Bergman norms. We find sharp asymptotics on the corresponding interpolation constants. As another application of… read more here.
Keywords: infty interpolation; varvec infty; theorems rational; embedding theorems ... See more keywords
Non-embedding theorems of nilpotent Lie groups and sub-Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-020-0823-3
Abstract: We prove that there do not exist quasi-isometric embeddings of connected nonabelian nilpotent Lie groups equipped with left invariant Riemannian metrics into a metric measure space satisfying the curvature-dimension condition RCD (0, N ) with… read more here.
Keywords: nilpotent lie; non embedding; lie groups; embedding theorems ... See more keywords