Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one

Gregor Herbort. "Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one." Annales Polonici Mathematici 109.3 (2013): 209-260. <http://eudml.org/doc/281112>.

@article{GregorHerbort2013,
abstract = {We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite type domains in dimension two.},
author = {Gregor Herbort},
journal = {Annales Polonici Mathematici},
keywords = {pseudoconvex domain of finite type; plurisubharmonic weights; Cauchy-Riemann equation},
language = {eng},
number = {3},
pages = {209-260},
title = {Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one},
url = {http://eudml.org/doc/281112},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Gregor Herbort
TI - Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 3
SP - 209
EP - 260
AB - We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite type domains in dimension two.
LA - eng
KW - pseudoconvex domain of finite type; plurisubharmonic weights; Cauchy-Riemann equation
UR - http://eudml.org/doc/281112
ER -