Hessian type equations for $m-\omega-$subharmonic functions on bounded domains in $\mathbb C^n$

In this paper, we study Hessian type equations for $m-\omega$ subharmonic functions.

Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounded solutions for such equations on bounded domains in $\mathbb{C}^n$.