You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Hardy's Inequality for W0 1,p-Functions on Riemannian Manifolds
Vladimir M. Miklyukov and Matti K. Vuorinen
Proceedings of the American Mathematical Society
Vol. 127, No. 9 (Sep., 1999), pp. 2745-2754
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/119576
Page Count: 10
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We prove that for every Riemannian manifold χ with the isoperimetric profile of particular type there holds an inequality of Hardy type for functions of the class W0 1,p(χ ). 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.
Proceedings of the American Mathematical Society © 1999 American Mathematical Society