Abstract
In this paper, we prove the Adams inequality in complete metric spaces supporting a Poincaré inequality with a doubling measure. We also prove the trace inequalities for the Riesz potentials.
Citation
Tero Mäkäläinen . "Adams inequality on metric measure spaces." Rev. Mat. Iberoamericana 25 (2) 533 - 558, June, 2009.
Information
Published: June, 2009
First available in Project Euclid: 13 October 2009
zbMATH: 1186.46031
MathSciNet: MR2569546
Subjects:
Primary:
26D10
,
31C15
,
46E35
Keywords:
metric space
,
Riesz potential
,
Sobolev function
,
the Poincaré inequality
,
trace inequality
Rights: Copyright © 2009 Departamento de Matemáticas, Universidad Autónoma de Madrid
