Invariant distances and metrics in complex analysis - revisited:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Inst. of Mathematics, Polish Acad. of Sciences
2005
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| Series: | Dissertationes mathematicae
430 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 192 S. |
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Record in the Search Index
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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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| indexdate | 2025-02-26T09:01:34Z |
| institution | BVB |
| language | English |
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| physical | 192 S. |
| publishDate | 2005 |
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| publisher | Inst. of Mathematics, Polish Acad. of Sciences |
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| 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 Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Invariante (DE-588)4128781-2 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 Metrischer Raum (DE-588)4169745-5 gnd Funktionentheorie (DE-588)4018935-1 gnd Invariante (DE-588)4128781-2 gnd |
| subject_GND | (DE-588)4169745-5 (DE-588)4018935-1 (DE-588)4128781-2 |
| 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 Metrischer Raum (DE-588)4169745-5 gnd Funktionentheorie (DE-588)4018935-1 gnd Invariante (DE-588)4128781-2 gnd |
| topic_facet | Functions of complex variables Invariants Metric spaces Pseudodistances Metrischer Raum Funktionentheorie Invariante |
| 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 |
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