Convergence in capacity

Pham Hoang Hiep

Pham Hoang Hiep

Annales Polonici Mathematici, Tome 93 (2008), p. 91-99 / Harvested from The Polish Digital Mathematics Library

Résumé

We prove that if $(Ω) ∋ u_{j} \to u \in (Ω)$ in Cₙ-capacity then $l i m i n f_{j \to \infty} {(d d^{c} u_{j})}^{n} \geq 1_{u > - \infty} {(d d^{c} u)}^{n}$ . This result is used to consider the convergence in capacity on bounded hyperconvex domains and compact Kähler manifolds.

Publié le : 2008-01-01

Zbl 1142.32021

EUDML-ID : urn:eudml:doc:280871

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     title = {Convergence in capacity},
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     volume = {93},
     year = {2008},
     pages = {91-99},
     zbl = {1142.32021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-8}
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Pham Hoang Hiep. Convergence in capacity. Annales Polonici Mathematici, Tome 93 (2008) pp. 91-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-8/