A Note on Coulhon type inequalities
Joaquim Martin, Mario Milman
TL;DR
This paper explores Coulhon type inequalities, reformulating Sobolev inequalities using rearrangement inequalities to provide a new perspective and characterization of these mathematical relations.
Contribution
It offers a novel characterization of Coulhon type inequalities through the lens of rearrangement inequalities, linking two important concepts in analysis.
Findings
Reformulation of Coulhon inequalities in terms of rearrangement inequalities
New characterization connecting Sobolev and Coulhon inequalities
Enhanced understanding of inequalities in analysis
Abstract
T. Coulhon introduced an interesting reformulation of the usual Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.