| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4590260 | Journal of Functional Analysis | 2014 | 15 Pages |
Abstract
We exhibit the optimal constant for Sobolev inequalities in Lorentz spaces for a mean oscillation, and its relation with a boundedness of the Hardy-Littlewood maximal operator in Sobolev spaces. Some applications to a scale invariant form of Hardyʼs inequality in a limiting case are also considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Norisuke Ioku,