We study restrictions of ω-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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-5, author = {Vu Viet Hung and Hoang Nhat Quy}, title = {Convergence in capacity on smooth hypersurfaces of compact K\"ahler manifolds}, journal = {Annales Polonici Mathematici}, volume = {105}, year = {2012}, pages = {175-187}, zbl = {1267.32039}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-5} }
Vu Viet Hung; Hoang Nhat Quy. Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds. Annales Polonici Mathematici, Tome 105 (2012) pp. 175-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-5/