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

Nijjwal Karak

Mathematische Nachrichten, 2020, vol. 293, issue 1, 120-128

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.

Date: 2020
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https://doi.org/10.1002/mana.201800121

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