23 citations · 50 across the 16 of their papers we have counts for
17 papers · 1 filter
The Complete Crouzeix Conjecture in Dimension Three and the Clouâtre-Ostermann-Ransford conjecture
Per Åhag, Rafał Czyż, Jani Virtanen
We settle the complete Crouzeix conjecture for matrices of order at most three and prove the Q-algebra case of the completely bounded Clouâtre--Ostermann--Ransford (COR) conjecture…
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 the regularity of the complex Hessian equation
Per Ahag, Rafal Czyz
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the -Hessian measure that belongs to…
On a family of quasimetric spaces in generalized potential theory
Per Ahag, Rafal Czyz
We construct a family of quasimetric spaces in generalized potential theory containing -subharmonic functions with finite -energy. These quasimetric spaces will be viewed…
Geodesics in the space of -subharmonic functions with bounded energy
Per Ahag, Rafal Czyz
With inspiration from the Kähler geometry, we introduce a metric structure on the energy class, , of -subharmonic functions with bounded energy and show that…