7 citations · 7 across the 9 of their papers we have counts for
11 papers
A computer-assisted proof of Krzyż's conjecture for the sixth coefficient
Frank Wikström
We prove Krzyż's conjecture for the sixth coefficient. Every holomorphic function from the unit disk to the punctured disk satisfies . Equality ho…
The sharp radius in Korenblum's maximum principle for the Fock space
Frank Wikström
Korenblum's maximum principle states that if near the boundary, then . The optimal size of the region of domination has been studied in Bergman s…
A computer-assisted lower bound for Landau's constant
Frank Wikström
We prove the lower bounds \[ B_\infty>0.51,\qquad L>0.51, \] where is the locally univalent Bloch constant and is Landau's constant, improving the bound $\frac{1}{2}…
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…
Perron envelopes with globally bounded minorants
Frank Wikström
Let be an upper semicontinuous function on a domain , and let be the Perron envelope of formed only with subharmonic minorants that are bounded above on all 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…
Variations on a theorem by Edwards
Mårten Nilsson, Frank Wikström
We discuss two variations of Edwards' duality theorem. More precisely, we prove one version of the theorem for cones not necessarily containing all constant functions. In particula…
Quasibounded plurisubharmonic functions
Mårten Nilsson, Frank Wikström
We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Di…
Level sets of certain classes of -analytic functions
Abtin Daghighi, Frank Wikström
For an open set , denote by the family of -analytic functions that obey a boundary maximum modulus principle. We prove that, on a bounde…