activity
20122018
most citedThe geometry of -hyperconvex domains

23 citations · 38 across the 5 of their papers we have counts for

collaborators

6 papers

math.CV2018

The Dirichlet problem for -subharmonic functions on compact sets

Per Ahag, Rafal Czyz, Lisa Hed

We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous -subharmonic functions defined on a compact set, and then within…

math.CV2018★ 2 cited

The classification of holomorphic --subharmonic morphisms

Per Ahag, Rafal Czyz, Lisa Hed

We study the problem of classifying the holomorphic -subharmonic morphisms in complex space. This determines which holomorphic mappings preserves -subharmonicity in the s…

math.CV2017★ 8 cited

Extension and approximation of -subharmonic functions

Per Ahag, Rafal Czyz, Lisa Hed

Let be a bounded domain, and let be a real-valued function defined on the whole topological boundary . The aim of this paper is to find a cha…

math.CV2017★ 23 cited

The geometry of -hyperconvex domains

Per Ahag, Rafal Czyz, Lisa Hed

We study the geometry of -regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We pr…

math.CV2012

Plurisubharmonic Approximation and Boundary Values of Plurisubharmonic Functions

Lisa Hed, Håkan Persson

We study the problem of approximating plurisubharmonic functions on a bounded domain by continuous plurisubharmonic functions defined on neighborhoods of . It turns out…

math.CV2012★ 5 cited

Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains

Benny Avelin, Lisa Hed, Håkan Persson

Using techniques from the analysis of PDEs to study the boundary behaviour of functions on domains with low boundary regularity, we extend results by Fornaæss-Wiegerinck (1989) on…