Two remarks on the Suita conjecture

Nikolai Nikolov. "Two remarks on the Suita conjecture." Annales Polonici Mathematici 113.1 (2015): 61-63. <http://eudml.org/doc/281007>.

@article{NikolaiNikolov2015,
abstract = {It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $C^\{1+ε\}$-smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.},
author = {Nikolai Nikolov},
journal = {Annales Polonici Mathematici},
keywords = {Suita conjecture; Bergman kernel; Azukawa metric},
language = {eng},
number = {1},
pages = {61-63},
title = {Two remarks on the Suita conjecture},
url = {http://eudml.org/doc/281007},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Nikolai Nikolov
TI - Two remarks on the Suita conjecture
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 1
SP - 61
EP - 63
AB - It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with $C^{1+ε}$-smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.
LA - eng
KW - Suita conjecture; Bergman kernel; Azukawa metric
UR - http://eudml.org/doc/281007
ER -