Condenser capacity and hyperbolic diameter
الملخص
Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger capacity than a hyperbolic disk with the same diameter. The set we construct is called a Reuleaux triangle in hyperbolic geometry and it has constant hyperbolic width equal to t.
معرّف المصادر الموحد
https://www.sciencedirect.com/science/article/pii/S0022247X21009525المجموعات
- الرياضيات والإحصاء والفيزياء [717 items ]