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

Published 22 Mar 2018 in math.FA | (1803.08499v1)

Abstract: In this article, we study the relation between Sobolev-type embeddings for Sobolev spaces or Besov spaces or Triebel-Lizorkin spaces defined either on a doubling or on a 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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Nijjwal Karak

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