Let μ be a non-negative measure with finite mass given by , where ψ is a bounded plurisubharmonic function with zero boundary values and , φ ≥ 0, 1 ≤ q ≤ ∞. The Dirichlet problem for the complex Monge-Ampère operator with the measure μ is studied.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-7, author = {Rafa\l\ Czy\.z and Per \AA hag}, title = {On the Dirichlet problem in the Cegrell classes}, journal = {Annales Polonici Mathematici}, volume = {83}, year = {2004}, pages = {273-279}, zbl = {1081.32026}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-7} }
Rafał Czyż; Per Åhag. On the Dirichlet problem in the Cegrell classes. Annales Polonici Mathematici, Tome 83 (2004) pp. 273-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-7/