5 papers
An improved lower bound for Bloch's constant
Frank Wikström
Let denote Bloch's constant. We prove \[ B \ge \frac{\sqrt{3}}{4}+0.0153 = 0.448312701\ldots, \] improving the lower bounds by Chen--Gauthier () and X…
Restricted Perron envelopes and quasibounded functions
Frank Wikström
Let be an upper semicontinuous function on a domain and consider the Perron envelope formed only with globally bounded-above subharmonic, or plurisubharmonic, minorants of .…
Moment duality and an improved lower bound for Korenblum's constant
Frank Wikström
We introduce a moment-duality method for Korenblum's maximum principle in the Bergman space . Starting from an annular coefficient estimate of Wang, we show that a…
Jensen Deficits for Inhomogeneous Monge-Ampère Dirichlet Problems
Frank Wikström
We develop an inhomogeneous form of Edwards' Jensen-measure duality for Perron envelopes constrained by Monge--Ampère lower bounds. The admissible subsolution families are convex b…
Fast Bellman algorithm for real Monge-Ampere equation
Aleksandra Le, Frank Wikström
In this paper, we introduce a new numerical algorithm for solving the Dirichlet problem for the real Monge--Ampere equation. The idea is to represent the non-linear Monge--Ampere o…