4 citations · 4 across the 3 of their papers we have counts for
6 papers
A remark on Oka's lemma and a geometric property of pseudoconvex domains
Sławomir Dinew, Żywomir Dinew
A direct proof of Oka's lemma on the relation of holomorphic convexity and the properties of the distance to the boundary function is provided. Some related problems for subharmoni…
On a problem of CHirka
Slawomir Dinew, Zywomir Dinew
We observe that a slight adjustment of a method of Caffarelli, Li, and Nirenberg yields that plurisubharmonic functions extend across subharmonic singularities as long as the singu…
Differential tests for plurisubharmonic functions and Koch curves
Sławomir Dinew, Żywomir Dinew
We study minimum sets of singular plurisubharmonic functions and their relation to upper contact sets. In particular we develop an algorithm checking when a naturally parametrized…
The minimum sets and free boundaries of strictly plurisubharmonic functions
Slawomir Dinew, Zywomir Dinew
We study the minimum sets of plurisubharmonic functions with strictly positive Monge-Ampère densities. We investigate the relationship between their Hausdorff dimension and the reg…
On the completeness of a metric related to the Bergman metric
Zywomir Dinew
We study the completeness of a metric which is related to the Bergman metric of a bounded domain. We provide a criterion for its completeness in the spirit of the Kobayashi criteri…
An example for the holomorphic sectional curvature of the Bergman metric
Zywomir Dinew
In this paper we study the behaviour of the holomorphic sectional curvature (or Gaussian curvature) of the Bergman metric of planar annuli. The results are then utilized to constru…