Invariant distances and metrics in complex analysis - revisited:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Inst. of Mathematics, Polish Acad. of Sciences
2005
|
| Schriftenreihe: | Dissertationes mathematicae
430 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 192 S. |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Invariant distances and metrics in complex analysis - revisited
Autor: Jarnicki, Marek
Jahr: 2005
CONTENTS
Preface................................................................................. 5
Chapter 1. Elolomorphicalty invariant objects............................................ 6
1.1. Holomorphically contractible families of functions................................. 6
1.2. Holomorphically contractible families of pseudometrics............................ 8
1.3. Effective formulas for elementary Reinhardt domains.............................. 25
1.4. The converse to the Lempert theorem............................................. 28
1.5. Generalized holomorphically contractible families................................. 40
1.6. Properties of the generalized Mobius and Green functions......................... 43
1.7. Examples ........................................................................ 47
1.8. Properties of dgin and dgax...................................................... 66
1.9. Relative extremal function........................................................ 68
1.10. Analytic discs method............................................................ 69
1.11. Coman conjecture................................................................ 85
1.12. Product property................................................................. 88
Chapter 2. Hyperbolicity and completeness.............................................. 99
2.1. ^-hyperbolicity versus c-hyperbolicity............................................ 99
2.2. Hyperbolicity for Reinhardt domains..............................................100
2.3. Hyperbolicities for balanced domains............................................. 106
2.4. Hyperbolicities for Hartogs type domains......................................... 108
2.5. c-completeness for Reinhardt domains............................................ HO
2.6. c-completeness for complete circular domains..................................... 110
2.7. ^^-completeness for Zalcman domains..........................................117
2.8. Kobayashi completeness and smoothly bounded pseudoconvex domains............123
2.9. Kobayashi completeness and unbounded domains................................. 124
Chapter 3. Bergman metric............................................................. 129
3.1. The Bergman kernel..................................*...........................129
3.2. The Lu Qi-Keng problem......................................................... 1^8
3.3. Bergman exhaustiveness.......................................................... H l
3.4. E^-domains of holomorphy....................................................... 1^
3.5. Bergman completeness............................................................1^2
Symbols................................................................................ HO
Open problems..........................................................................1^9
References.............................................................................. 1^1
Index................................................................................... 191
2000 Mathematics Subject Classification: 32F45, 32A07.
Received 16.2.2004.
(31
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:10:20Z |
| institution | BVB |
| language | English |
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| physical | 192 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Inst. of Mathematics, Polish Acad. of Sciences |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Jarnicki, Marek 1952- Verfasser (DE-588)101811095X aut Invariant distances and metrics in complex analysis - revisited Marek Jarnicki ; Peter Pflug Warszawa Inst. of Mathematics, Polish Acad. of Sciences 2005 192 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 430 Functions of complex variables Invariants Metric spaces Pseudodistances Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Invariante (DE-588)4128781-2 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Invariante (DE-588)4128781-2 s Metrischer Raum (DE-588)4169745-5 s Funktionentheorie (DE-588)4018935-1 s DE-604 Pflug, Peter Verfasser aut Dissertationes mathematicae 430 (DE-604)BV000003039 430 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013315202&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jarnicki, Marek 1952- Pflug, Peter Invariant distances and metrics in complex analysis - revisited Dissertationes mathematicae Functions of complex variables Invariants Metric spaces Pseudodistances Funktionentheorie (DE-588)4018935-1 gnd Invariante (DE-588)4128781-2 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4128781-2 (DE-588)4169745-5 |
| title | Invariant distances and metrics in complex analysis - revisited |
| title_auth | Invariant distances and metrics in complex analysis - revisited |
| title_exact_search | Invariant distances and metrics in complex analysis - revisited |
| title_full | Invariant distances and metrics in complex analysis - revisited Marek Jarnicki ; Peter Pflug |
| title_fullStr | Invariant distances and metrics in complex analysis - revisited Marek Jarnicki ; Peter Pflug |
| title_full_unstemmed | Invariant distances and metrics in complex analysis - revisited Marek Jarnicki ; Peter Pflug |
| title_short | Invariant distances and metrics in complex analysis - revisited |
| title_sort | invariant distances and metrics in complex analysis revisited |
| topic | Functions of complex variables Invariants Metric spaces Pseudodistances Funktionentheorie (DE-588)4018935-1 gnd Invariante (DE-588)4128781-2 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| topic_facet | Functions of complex variables Invariants Metric spaces Pseudodistances Funktionentheorie Invariante Metrischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013315202&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT jarnickimarek invariantdistancesandmetricsincomplexanalysisrevisited AT pflugpeter invariantdistancesandmetricsincomplexanalysisrevisited |