Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495970 | Journal of Functional Analysis | 2005 | 23 Pages |
Abstract
The present article contains new conductor inequalities for nonnegative functionals acting on functions defined on topological spaces. Sharp capacitary inequalities, stronger than the classical Sobolev inequality, with the best constant and the sharp form of the Yudovich inequality (Soviet Math. Dokl. 2 (1961) 746) due to Moser (Indiana Math. J. 20 (1971) 1077) are found.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vladimir Maz'ya,