A note on equality on plurifinely open sets of some complex Monge-Amp\`ere measures
Abstract
Our aim in this paper is to prove that if plurisubharmonic functions u1,. . . , un, v1,. . ., vn in the domain of definition of the complex Monge-Amp\`ere operator on a domain set D⊂ Cn (n≥ 1) are such that u1= v1, . . ., un=vn on a Borel plurifinely open set ⊂ D, then ddcu1 ... ddcun=ddcv1 ... ddcvn on . This extends an earlier result obtained by the author in EK.
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