Abstract
Let $$\mu $$ be a non-negative measure defined on bounded $${\mathcal {F}}$$ -hyperconvex domain $$\Omega $$ . We are interested in giving sufficient conditions on $$\mu $$ such that we can find a plurifinely plurisubharmonic function satisfying NP $$(dd^c u)^n =\mu $$ in QB $$(\Omega )$$ .
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