Łojasiewicz-Siciak condition for the pluricomplex Green function

Marta Kosek. "Łojasiewicz-Siciak condition for the pluricomplex Green function." Banach Center Publications 92.1 (2011): 197-203. <http://eudml.org/doc/281833>.

@article{MartaKosek2011,
abstract = {A compact set $K ⊂ ℂ^N$ satisfies Łojasiewicz-Siciak condition if it is polynomially convex and there exist constants B,β > 0 such that $V_K(z) ≥ B(dist(z,K))^β$ if dist(z,K) ≤ 1. (LS) Here $V_K$ denotes the pluricomplex Green function of the set K. We cite theorems where this condition is necessary in the assumptions and list known facts about sets satisfying inequality (LS).},
author = {Marta Kosek},
journal = {Banach Center Publications},
keywords = {polynomial convexity; plurisubharmonic function; pluricomplex Green function},
language = {eng},
number = {1},
pages = {197-203},
title = {Łojasiewicz-Siciak condition for the pluricomplex Green function},
url = {http://eudml.org/doc/281833},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Marta Kosek
TI - Łojasiewicz-Siciak condition for the pluricomplex Green function
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 197
EP - 203
AB - A compact set $K ⊂ ℂ^N$ satisfies Łojasiewicz-Siciak condition if it is polynomially convex and there exist constants B,β > 0 such that $V_K(z) ≥ B(dist(z,K))^β$ if dist(z,K) ≤ 1. (LS) Here $V_K$ denotes the pluricomplex Green function of the set K. We cite theorems where this condition is necessary in the assumptions and list known facts about sets satisfying inequality (LS).
LA - eng
KW - polynomial convexity; plurisubharmonic function; pluricomplex Green function
UR - http://eudml.org/doc/281833
ER -