13 citations · 16 across the 5 of their papers we have counts for
6 papers · 1 filter
Approximation of polynomial hulls by analytic varieties: A counterexample
Tobias Harz
We construct a connected, compact set with the following property: there exist points such that there does not exist a sequence…
On plurisubharmonic defining functions for pseudoconvex domains in
Anne-Katrin Gallagher, Tobias Harz
We investigate the question of existence of plurisubharmonic defining functions for smoothly bounded, pseudoconvex domains in . In particular, we construct a family o…
On smoothing of plurisubharmonic functions on unbounded domains
Tobias Harz
We prove that for every , there exists a pseudoconvex domain such that , where …
On the dimension of the Bergman space for some unbounded domains
A. -K. Gallagher, T. Harz, G. Herbort
A sufficient condition for the infinite dimensionality of the Bergman space of a pseudoconvex domain is given. This condition holds on any pseudoconvex domain that has at least one…
On defining functions for unbounded pseudoconvex domains
Tobias Harz, Nikolay Shcherbina, Giuseppe Tomassini
We show that every strictly pseudoconvex domain with smooth boundary in a complex manifold admits a global defining function, i.e., a smooth plurisubharmonic func…
Wermer type sets and extension of CR functions
Tobias Harz, Nikolay Shcherbina, Giuseppe Tomassini
For each we construct an unbounded closed pseudoconcave complete pluripolar set in which contains no analytic variety of positive dimension (we…