Convergence in capacity
Tom 93 / 2008
Annales Polonici Mathematici 93 (2008), 91-99
MSC: Primary 32W20; Secondary 32U05.
DOI: 10.4064/ap93-1-8
Streszczenie
We prove that if in C_n-capacity then \mathop {\rm lim\, inf}_{j\to \infty }(dd^cu_j)^n\geq 1_{\{ u>-\infty \} }(dd^cu)^n. This result is used to consider the convergence in capacity on bounded hyperconvex domains and compact Kähler manifolds.
