Hessian measures II
| dc.creator | Trudinger, Neil S. | |
| dc.creator | Wang, Xu-Jia | |
| dc.date | 1999-09-01 | |
| dc.date.accessioned | 2026-07-07T05:30:59Z | |
| dc.date.available | 2026-07-07T05:30:59Z | |
| dc.description | In our previous paper on this topic, we introduced the notion of k-Hessian measure associated with a continuous k-convex function in a domain \Om in Euclidean n-space, k=1,...,n, and proved a weak continuity result with respect to local uniform convergence. In this paper, we consider k-convex functions, not necessarily continuous, and prove the weak continuity of the associated k-Hessian measure with respect to convergence in measure. The proof depends upon local integral estimates for the gradients of k-convex functions. | |
| dc.description | 26 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/9909199 | |
| dc.identifier | http://arxiv.org/abs/math/9909199 | |
| dc.identifier | Ann. of Math. (2) 150 (1999), no. 2, 579-604 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79184 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.title | Hessian measures II | |
| dc.type | text |