This article is cited in 1 paper

Nash-type inequalities on metric-measure spaces

A. Ranjbar-Motlagh

Department of Mathematical Sciences, Sharif University of Technologym, Tehran, Iran

Abstract: We extend homogeneous and inhomogeneous Nash-type inequalities to abstract metric-measure spaces.

Keywords: Nash inequality, Gagliardo–Nirenberg inequality, Sobolev inequality, metric-measure spaces.

Received: 04.05.2022
Revised: 10.09.2022
Accepted: 28.10.2022

DOI: 10.4213/faa4006

 English version: Functional Analysis and Its Applications, 2023, 57:1, 65–70

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