Bounded solution to Hessian type equations for (ø,m)-β-subharmonic functions on a ball in \mathbb Cⁿ

2025/03/25 by Anh, Hoang Thieu, Hai, Le Mau, Dieu, Nguyen Quang +1
#2U05 #32Q15 #32W20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.19335

Abstract

In this paper, we study Hessian type equations for (ø,m)-β-subharmonic functions on a ball in ℂⁿ, where β=dd^c‖z‖²=(i)/(2)∑_j=1ⁿ dz_j\w dz_j is the flat metric on \cn. Using the recent results in \citeKN23b, we are able to show the existence of bounded solutions for Hessian type equations.

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