Geodesic
On the Dirichlet problem in the Cegrell classes
Rafa/l Czy/z1 ; Per Åhag2
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
2 Institute of Mathematics Academia Sinica Taipei 11529, Taiwan
Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 273-279

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $\mu $ be a non-negative measure with finite mass given by $\varphi (dd^{c}\psi )^{n}$, where $\psi $ is a bounded plurisubharmonic function with zero boundary values and $\varphi \in L^{q}((dd^{c}\psi )^{n})$, $\varphi \geq 0$, $1 \leq q \leq \infty $. The Dirichlet problem for the complex Monge–Ampère operator with the measure $\mu $ is studied.
DOI : 10.4064/ap84-3-7
Keywords: non negative measure finite mass given varphi psi where psi bounded plurisubharmonic function zero boundary values varphi psi varphi geq leq leq infty dirichlet problem complex monge amp operator measure studied

Rafa/l Czy/z 1 ; Per Åhag 2

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
2 Institute of Mathematics Academia Sinica Taipei 11529, Taiwan 
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Rafa/l  Czy/z; Per Åhag. On the Dirichlet problem in the Cegrell classes. Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 273-279. doi: 10.4064/ap84-3-7

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