Quasiconformal, Lipschitz, and BV mappings in metric spaces
Abstract
Consider a mapping f X Y between two metric measure spaces. We study generalized versions of the local Lipschitz number Lip f, as well as of the distortion number Hf that is used to define quasiconformal mappings. Using these, we give sufficient conditions for f being a BV mapping f∈ BVloc(X;Y) or a Newton-Sobolev mapping f∈ Nloc1,p(X;Y), with 1 p<∞.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.