5 papers
Quartic Fourier-Laplace limits for -Rogers-Szegő polynomials
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove asymptotic formulae for -Rogers--Szegő polynomials with positive real parameters when the leading quadratic term in the logarithmic expansion about the middle coeff…
On -binomial coefficient ratios for complex parameters
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove local asymptotics for near-central complex -binomial coefficient modulus ratios allowing an imaginary parameter perturbation of order at a len…
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per Åhag, Rafał Czyż, Antti Perälä +1
A maximal plurisubharmonic function on an infinite-dimensional Hilbert space can have an injective, noncompact Levi operator at every point. This raises the question of what replac…
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…