Order functions of plurisubharmonic functions
Studia Mathematica, Tome 124 (1997) no. 2, pp. 161-171
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We consider the following problem: find on $ℂ^2$ a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on $ℂℙ^1$ which is constant outside a polar set is the order function of a plurisubharmonic function.
Keywords:
plurisubharmonic function, singularity, order function, $G_δ$-function
@article{10_4064_sm_124_2_161_171,
author = {Halil Ibrahim Celik and },
title = {Order functions of plurisubharmonic functions},
journal = {Studia Mathematica},
pages = {161--171},
year = {1997},
volume = {124},
number = {2},
doi = {10.4064/sm-124-2-161-171},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-124-2-161-171/}
}
Halil Ibrahim Celik; . Order functions of plurisubharmonic functions. Studia Mathematica, Tome 124 (1997) no. 2, pp. 161-171. doi: 10.4064/sm-124-2-161-171
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