Geodesic
Convergence in capacity on compact Kähler manifolds
Dinew, Sławomir1  ; Hiệp, Phạm Hoàng2
1 Institute of Mathematics Jagiellonian University ul. Łojasiewicza 6 30-348 Kraków, Poland
2 Department of Mathematics University of Education (Dai hoc Su Pham Ha Noi) CauGiay, Hanoi, Vietnam
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 903-919

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The aim of this note is to study the convergence in capacity for functions in the class ℰ(X,ø). We study the problem under several restrictions on the Monge-Ampère measures of the functions considered, such as common domination by a fixed measure or control on the variation.

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Classification : 32W20, 32Q15

Dinew, Sławomir 1 ; Hiệp, Phạm Hoàng 2

1 Institute of Mathematics Jagiellonian University ul. Łojasiewicza 6 30-348 Kraków, Poland
2 Department of Mathematics University of Education (Dai hoc Su Pham Ha Noi) CauGiay, Hanoi, Vietnam 
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     title = {Convergence in capacity on compact {K\"ahler} manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {903--919},
     publisher = {Scuola Normale Superiore, Pisa},
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     mrnumber = {3060705},
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Dinew, Sławomir; Hiệp, Phạm Hoàng. Convergence in capacity on compact Kähler manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 903-919. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_903_0/