Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415122 | Journal of Functional Analysis | 2014 | 18 Pages |
Abstract
We show that the complex Monge-Ampère equation on a compact Kähler manifold (X,Ï) of dimension n admits a Hölder continuous Ï-psh solution if and only if its right-hand side is a positive measure with Hölder continuous super-potential. This property is true in particular when the measure has locally Hölder continuous potentials or when it belongs to the Sobolev space W2n/pâ2+ϵ,p(X) or to the Besov space Bâ,âϵâ2(X) for some ϵ>0 and p>1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tien-Cuong Dinh, Viêt-Anh Nguyên,