Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896774 | Journal of Functional Analysis | 2018 | 25 Pages |
Abstract
We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sun-Yung Alice Chang, Fang Wang,