Riemann mapping theorem in ℂⁿ
Annales Polonici Mathematici (2012)
- Volume: 106, Issue: 1, page 199-206
- ISSN: 0066-2216
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topKrzysztof Jarosz. "Riemann mapping theorem in ℂⁿ." Annales Polonici Mathematici 106.1 (2012): 199-206. <http://eudml.org/doc/280194>.
@article{KrzysztofJarosz2012,
abstract = {
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent.
We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem
},
author = {Krzysztof Jarosz},
journal = {Annales Polonici Mathematici},
keywords = {small perturbation; small deformation; Riemann mapping theorem; uniform algebra},
language = {eng},
number = {1},
pages = {199-206},
title = {Riemann mapping theorem in ℂⁿ},
url = {http://eudml.org/doc/280194},
volume = {106},
year = {2012},
}
TY - JOUR
AU - Krzysztof Jarosz
TI - Riemann mapping theorem in ℂⁿ
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 199
EP - 206
AB -
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent.
We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem
LA - eng
KW - small perturbation; small deformation; Riemann mapping theorem; uniform algebra
UR - http://eudml.org/doc/280194
ER -
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