Order functions of plurisubharmonic functions
Studia Mathematica, Tome 124 (1997) no. 2, pp. 161-171
Voir la notice de l'article provenant de 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
Affiliations des auteurs :
Halil Ibrahim Celik 1 ;  1
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author = {Halil Ibrahim Celik and },
title = {Order functions of plurisubharmonic functions},
journal = {Studia Mathematica},
pages = {161--171},
publisher = {mathdoc},
volume = {124},
number = {2},
year = {1997},
doi = {10.4064/sm-124-2-161-171},
language = {en},
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TY - JOUR AU - Halil Ibrahim Celik AU - TI - Order functions of plurisubharmonic functions JO - Studia Mathematica PY - 1997 SP - 161 EP - 171 VL - 124 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-124-2-161-171/ DO - 10.4064/sm-124-2-161-171 LA - en ID - 10_4064_sm_124_2_161_171 ER -
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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