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1. CMB 2012 (vol 56 pp. 241)
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Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius We prove variants of Schwarz's lemma involving monotonicity
properties of condenser capacity and inner radius. Also, we
examine when a similar monotonicity property holds for the
hyperbolic metric.
Keywords:condenser capacity, inner radius, hyperbolic metric, Schwarz's lemma Categories:30C80, 30F45, 31A15 |
2. CMB 2011 (vol 55 pp. 242)
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Convergence in Capacity In this note we study the convergence of sequences of Monge-Ampère measures $\{(dd^cu_s)^n\}$,
where $\{u_s\}$ is a given sequence of plurisubharmonic functions, converging in capacity.
Keywords:complex Monge-Ampère operator, convergence in capacity, plurisubharmonic function Categories:32U20, 31C15 |