Relative Finite Energy Classes for Complex Hessian Equations with Prescribed Singularities

Truong Dinh Dat

Let $\Omega \subset {\mathbb{C}}^n$ be a bounded $m$-hyperconvex domain and let $\psi \in S{H}_m(\Omega )$ be a fixed negative $m$-subharmonic function. In this paper we introduce a relative finite ene…