Bounded solution to Hessian type equations for $(\tilde{A}¸,m)-{\hat{I}}^2$-subharmonic functions on a ball in ${\mathbb{C}}^n$

Abstract

In this paper, we study Hessian type equations for $(\tilde{A}¸,m)-{\hat{I}}^2$-subharmonic functions on a ball in ${\mathbb{C}}^n$, where $β=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{z}_j$ is the flat metric on $\cn$. Using the recent results in \cite{KN23b}, we are able to show the existence of bounded solutions for Hessian type equations.

15 pages