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20162026
most citedQuasibounded plurisubharmonic functions

7 citations · 7 across the 9 of their papers we have counts for

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math.CV2026

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…

math.CV2026

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…

math.CV2026

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}…

math.CV2026

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…

math.CV2026

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 .…

math.CV2026

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…

math.CV2026

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…