Peer-Reviewed Journal Details
Mandatory Fields
Buckley, SM;O'Shea, J
1999
January
Indiana University Mathematics Journal
Weighted Trudinger-type inequalities
Published
11 ()
Optional Fields
POINCARE INEQUALITIES SOBOLEV INEQUALITIES SPACES OPERATORS DOMAINS
48
85
114
We establish sharp inequalities of Trudinger-type (with non-standard Young functions) on general domains Omega with respect to measures nu, mu. Our results are new even when Omega is a Euclidean ball, and nu, mu are defined in terms of powers of distance to the boundary. In the Euclidean case, sharpness results are proved for the Young functions involved and the class of domains considered. New characterizations of QHBC domains are given.
BLOOMINGTON
0022-2518
Grant Details