3 papers
math.CV2025
On rigid -plurisubharmonic functions and -pseudoconvex tube domains in
Thomas Pawlaschyk
In the spirit of Lelong and Bochner, we show that an upper semi-continuous function defined on a open tube set in , where is an open set in $…
math.CV2025
On compact sets possessing -convex functions
Thomas Pawlaschyk, Nikolay Shcherbina
We show that there exists a -convex function in a neighborhood of a compact set in a complex manifold if and only if the -nucleus of this compact set is emp…
math.CV2018
On convex hulls and pseudoconvex domains generated by -plurisubharmonic functions, part III
Thomas Pawlaschyk, Eduardo S. Zeron
We characterise in this work the -plurisubharmonic functions in terms of the theory of viscosity solutions. We show that an upper semicontinuous function is -plurisubharmonic…