A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Hardy's inequality for w0
1,p-functions on riemannian manifolds
Tekijät: Miklyukov V., Vuorinen M.
Julkaisuvuosi: 1999
Lehti:: Proceedings of the American Mathematical Society
Tietokannassa oleva lehden nimi: Proceedings of the American Mathematical Society
Vuosikerta: 127
Numero: 9
Aloitussivu: 2745
Lopetussivu: 2754
ISSN: 0002-9939
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:22844454129
Tiivistelmä
We prove that for every Riemannian manifold X with the isoperimetric profile of particular type there holds an inequality of Hardy type for functions of the class W
(X). We also study manifolds satisfying Hardy's inequality and, in particular, we establish an estimate for the rate of growth of the weighted volume of the noncompact part of such a manifold. ©1999 American Mathematical Society.
We prove that for every Riemannian manifold X with the isoperimetric profile of particular type there holds an inequality of Hardy type for functions of the class W
(X). We also study manifolds satisfying Hardy's inequality and, in particular, we establish an estimate for the rate of growth of the weighted volume of the noncompact part of such a manifold. ©1999 American Mathematical Society.
Turun yliopiston Tutkimustietojärjestelmän portaali