Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds
We study restrictions of $\omega $-plurisubharmonic functions to a smooth hypersurface $S$ in a compact Kähler manifold $X$. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on $S$.