# Mathematische Nachrichten

## Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces

### Early View

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.

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