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A sharp subelliptic Sobolev embedding theorem with weights
Author(s) -
Yung Po-Lam
Publication year - 2015
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdv010
Subject(s) - mathematics , sobolev inequality , embedding , sobolev space , smoothing , inequality , pure mathematics , mathematical analysis , statistics , artificial intelligence , computer science
The purpose of this short article is to prove some potential estimates that naturally arise in the study of subelliptic Sobolev inequalities for functions. This will allow us to prove a local subelliptic Sobolev inequality with the optimal amount of smoothing, as well as a variant of that which describes quantitatively an improvement of the inequality as one gets away from certain characteristic varieties.