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math.CV2026
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per à hag, RafaŠCzyż, Antti Perälä +1
Let be a complex Hilbert space and let be a domain. In infinite dimensions, there is no canonical complex Monge--Ampère operator and no basis-free determinant of…
math.CV2024
Continuity of Solutions to Complex Hessian Equations via the Dinew-KoÅodziej Estimate
Per à hag, RafaŠCzyż
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…