5 citations · 7 across the 8 of their papers we have counts for
8 papers
The Perron-Bremermann envelope for -plurisubharmonic functions on unbounded domains in
Thomas Pawlaschyk
Let be an unbounded domain in , and let be a bounded continuous function prescribed on the boundary of . We show that, if has -peak points on its bo…
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 $…
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…
A Selection Theorem for the Carathéodory Kernel Convergence of Pointed Domains
Kang-Tae Kim, Thomas Pawlaschyk
We present a selection theorem for domains in , , which states that any tamed sequence of pointed connected open subsets admits a subsequence convergent to it…
Foliations of continuous q-pseudoconcave graphs
Thomas Pawlaschyk, Nikolay Shcherbina
We show that for the graph of a continuous mapping , defined on a domain in , is locally foli…
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…
Engaging students in conjecturing through homework in Real Analysis and Differential Equations
Thomas Pawlaschyk, Sven-Ake Wegner
In this note we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task-design that gives stude…
The Bergman-Shilov boundary for subfamilies of -plurisubharmonic functions
Thomas Pawlaschyk
We introduce a notion of the Bergman-Shilov (or Shilov) boundary for some subclasses of upper-semicontinuous functions on a compact Hausdorff space. It is by definition the smalles…