Bounded solution to Hessian type equations for $(\text{ø},m)-\beta$-subharmonic functions on a ball in ${\mathbb{C}}^n$

In this paper, we study Hessian type equations for $(\text{ø},m)-\beta$-subharmonic functions on a ball in ${\mathbb{C}}^n$, where $\beta =d{d}^c\mathrm{\parallel }z{\mathrm{\parallel }}^2=\frac{i}{2}{\sum }_{j=1}^{n}d{z}_j\text{w}d{\bar{z}}_j$ is the flat metric on $\text{cn}$. Using the recent results in \cite{KN23b}, we are able to show the existence of bounded solutions for Hessian type equations.