Boundary values of pluriharmonic functions with Bott-Chern cohomology (Q6548066)

In this paper, the authors are investigated in the relationship between extensions of pluriharmonic functions defined on the boundary of an unbounded domain and the vanishing of the Bott-Chern cohomology groups of \((1,1)\)-forms with prescribed supports in a paracompactifying family of supports \(\phi\) consisting of closed subsets of a complex manifold \(X\) not containing \(X\). Also, they give a relationship between boundary values in sense of currents and extensible currents.