Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669413 | Bulletin des Sciences Mathématiques | 2006 | 10 Pages |
Abstract
We establish a sharp Sobolev trace inequality for the fractional-order derivatives. As a close connection with this best estimate, we show a fractional-order logarithmic Sobolev trace inequality with the asymptotically optimal constant, but also sharpen the Poincaré embedding for the conformal invariant energy and BMO spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)