5 papers · 1 filter
Continuity of Solutions to Complex Hessian Equations via the Dinew-Kołodziej Estimate
Per Åhag, Rafał Czyż
This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for…
Generalization of Finite Entropy Measures in Kähler Geometry
P. Åhag, R. Czyż
In this paper, we extend the concept of finite entropy measures in Kähler geometry. We define the finite -entropy related to -plurisubharmonic functions and demonstrate their…
Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
Per Åhag, Rafał Czyż, Chinh H. Lu +1
We initiate the study of -subharmonic functions with respect to a semipositive -form in Euclidean domains, providing a significant element in understanding geodesics with…
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per Åhag, Rafał Czyż, Chinh H. Lu +1
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in . We establish that solutions possessing com…
On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
Per Åhag, Rafał Czyż, Håkan Samuelsson Kalm +1
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds,…