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

2018/03/22 by Karak, Nijjwal · 1 citation
#42B35 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1803.08499

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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