We consider the following problem: find on a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on which is constant outside a polar set is the order function of a plurisubharmonic function.
@article{bwmeta1.element.bwnjournal-article-smv124i2p161bwm,
author = {Halil Celik and Evgeny Poletsky},
title = {Order functions of plurisubharmonic functions},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {161-171},
zbl = {0883.32015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv124i2p161bwm}
}
Celik, Halil; Poletsky, Evgeny. Order functions of plurisubharmonic functions. Studia Mathematica, Tome 122 (1997) pp. 161-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv124i2p161bwm/
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