Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
PRELIMINARY REMARKS........................................................................................ 5
Introduction..................................................................................................... 5
Basic definitions, examples and facts............................................................... 8
I. LU QI-KENQ DOMAINS........................................................................................... 13
Some properties of Lu Qi-keng domains.................................................. 13
An example of bounded non-Lu Qi-keng domain............................................ 14
Doubly connected Lu Qi-keng domains in the plane...................................... 15
II. REPRESENTATIVE COORDINATES................................................................... 16
The Bergman metric tensor......................................................................... 16
A property of representative coordinates........................................................... 19
III. AN INVARIANT DISTANCE................................................................................... 20
Biholomorphic mappings and canonical isometry................................. 20
Critical points of the invariant distance.............................................................. 22
Completeness with respect to the invariant distance..................................... 22
IV. EXTENSION THEOREM....................................................................................... 27
Semiconformal mappings........................................................................... 27
Extension theorem................................................................................................ 31
Local characterization of a biholomorphic mapping...................................... 33
V. DOMAIN DEPENDENCE...................................................................................... 36
Ramadanov theorem.................................................................................... 36
An analogue of Ramadanov theorem for decreasing sequences................ 37
A counterexample in the plane............................................................................ 39
VI. THE IDEAL BOUNDARY....................................................................................... 40
Definition of the ideal boundary................................................................... 40
Characteristic properties....................................................................................... 49
The case of bounded circular domains.............................................................. 53
Plane domains and strictly pseudoconvex domains........................................ 54
REFERENCES.............................................................................................................. 58
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
173
Liczba stron
59
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CLXXIII
Daty
wydano
1980
Twórcy
autor
Bibliografia
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