A sharp subelliptic Sobolev embedding theorem with weights

13 Jul 2015  ·  Yung Po-Lam ·

The purpose of this short article is to prove some potential estimates that naturally arise in the study of subelliptic Sobolev inequalites 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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Classical Analysis and ODEs