2 results
WEAK CONTINUITY OF THE COMPLEX
$k$-HESSIAN OPERATORS WITH RESPECT TO LOCAL UNIFORM CONVERGENCE
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 89 / Issue 2 / April 2014
- Published online by Cambridge University Press:
- 11 June 2013, pp. 227-233
- Print publication:
- April 2014
-
- Article
-
- You have access
- Export citation
-
In this paper, we study the properties of
$k$-plurisubharmonic functions defined on domains in 
${ \mathbb{C} }^{n} $. By the monotonicity formula, we give an alternative proof of the weak continuity of complex 
$k$-Hessian operators with respect to local uniform convergence.
Convergence in Capacity
-
- Journal:
- Canadian Mathematical Bulletin / Volume 55 / Issue 2 / 01 June 2012
- Published online by Cambridge University Press:
- 20 November 2018, pp. 242-248
- Print publication:
- 01 June 2012
-
- Article
-
- You have access
- Export citation
-
In this note we study the convergence of sequences of Monge–Ampère measures
$\{{{(d{{d}^{c}}{{u}_{s}})}^{n}}\}$, where 
$\{{{u}_{s}}\}$ is a given sequence of plurisubharmonic functions, converging in capacity.
