Open AccessAdimensional weighted Sobolev inequalities in PI spaces
Author(s) -
David Tewodrose
Publication year - 2022
Publication title -
annales fennici mathematici
Language(s) - English
Resource type - Journals
eISSN - 2737-114X
pISSN - 2737-0690
DOI - 10.54330/afm.113840
Subject(s) - mathematics , sobolev space , inequality , pure mathematics , birnbaum–orlicz space , interpolation space , sobolev inequality , mathematical analysis , functional analysis , biochemistry , chemistry , gene
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.