Convergence in capacity on smooth hypersurfaces
 of compact Kähler manifolds

Vu Viet Hung; Hoang Nhat Quy

doi:10.4064/ap103-2-5

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds

Volume 103 / 2012

Vu Viet Hung, Hoang Nhat Quy Annales Polonici Mathematici 103 (2012), 175-187 MSC: Primary 32W20; Secondary 32Q15. DOI: 10.4064/ap103-2-5

Abstract

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 $S$ .

Authors

Vu Viet HungDepartment of Mathematics,
Physics and Informatics
Tay Bac University
Son La, Viet Nam
e-mail
Hoang Nhat QuyFaculty of Fundamentals
Vietnam-Korea Friendship IT College
Da Nang, Viet Nam
e-mail

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