Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces
Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces
Abstract In this article, we study the relation between Sobolev‐type embeddings for Sobolev spaces or Hajłasz–Besov spaces or Hajłasz–Triebel–Lizorkin spaces defined on a doubling and geodesic metric measure space and lower bound for measure of balls either in the whole space or in a domain inside the space.