Adimensional weighted Sobolev inequalities in PI spaces

Authors

  • David Tewodrose Nantes Université, Laboratoire de Mathématiques Jean Leray
DOI: https://doi.org/10.54330/afm.113840

Keywords:

Sobolev inequalities, metric measure spaces, doubling condition, Poincaré inequality, discretization method

Abstract

We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner-Schioppa spaces.

 

Issue
Vol. 47 No. 1 (2022)
Section
Articles

Published

2022-01-28

How to Cite

Tewodrose, D. (2022). Adimensional weighted Sobolev inequalities in PI spaces. Annales Fennici Mathematici, 47(1), 351–379. https://doi.org/10.54330/afm.113840

Copyright (c) 2021 Annales Fennici Mathematici

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