A sharp subelliptic Sobolev embedding theorem with weights

Po Lam Yung

doi:10.1112/blms/bdv010

A sharp subelliptic Sobolev embedding theorem with weights

Po Lam Yung^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	396-405
Number of pages	10
Journal	Bulletin of the London Mathematical Society
Volume	47
Issue number	3
DOIs	https://doi.org/10.1112/blms/bdv010
Publication status	Published - 2015
Externally published	Yes

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AB - 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.

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A sharp subelliptic Sobolev embedding theorem with weights

Abstract

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