Schwarz-Pick type inequalities:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2009
|
| Series: | Frontiers in Mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 156 S. 240 mm x 170 mm |
| ISBN: | 9783764399993 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS 1 INTRODUCTION 1 1.1 HISTORICAL REMARKS 1 1.2 ON INEQUALITIES
FOR HIGHER DERIVATIVES 3 1.3 ON METHODS 5 1.4 SURVEY OF THE CONTENTS 6 2
BASIC COEFFICIENT INEQUALITIES 7 2.1 SUBORDINATE FUNCTIONS 7 2.2
BIEBERBACH S CONJECTURE BY DE BRANGES 11 2.3 THEOREMS OF JENKINS AND
SHEIL-SMALL 15 2.4 INVERSE COEFFICIENTS 18 2.5 DOMAINS WITH BOUNDED
BOUNDARY ROTATION 23 3 THE POINCARE METRIC 27 3.1 BACKGROUND 27 3.2 THE
SCHWARZ-PICK INEQUALITY 30 3.3 ESTIMATES USING THE EUCLIDEAN DISTANCE 33
3.4 AN APPLICATION OF TEICHMUELLER S THEOREM 37 3.5 DOMAINS WITH
UNIFORMLY PERFECT BOUNDARY 40 3.6 DERIVATIVES OF THE CONFORMAL RADIUS 44
4 BASIC SCHWARZ-PICK TYPE INEQUALITIES 49 4.1 TWO CLASSICAL INEQUALITIES
50 4.2 THEOREMS OF RUSCHEWEYH AND YAMASHITA 52 4.3 PAIRS OF SIMPLY
CONNECTED DOMAINS 55 4.4 HOLOMORPHIC MAPPINGS INTO CONVEX DOMAINS 59 4.5
PUNISHING FACTORS FOR CONVEX PAIRS 63 4.6 CASE N = 2 FOR ALL DOMAINS 66
5 PUNISHING FACTORS FOR SPECIAL CASES 69 5.1 SOLUTION OF THE CHUA
CONJECTURE 69 5.2 PUNISHING FACTORS FOR ANGLES 72 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/991246144 DIGITALISIERT DURCH VIII
CONTENTS 5.3 SHARP LOWER BOUNDS FOR PUNISHING FACTORS 78 5.4 DOMAINS IN
THE EXTENDED COMPLEX PLANE 84 5.5 MAPS FROM CONVEX INTO CONCAVE DOMAINS
90 6 MULTIPLY CONNECTED DOMAINS 97 6.1 FINITELY CONNECTED DOMAINS 97 6.2
PAIRS OF ARBITRARY DOMAINS 104 6.3 SOME EXAMPLES 108 7 RELATED RESULTS
113 7.1 INEQUALITIES FOR SCHLICHT FUNCTIONS 113 7.2 DERIVATIVES OF
A-INVARIANT FUNCTIONS 117 7.3 A CHARACTERIZATION OF CONVEX DOMAINS 124 8
SOME OPEN PROBLEMS 127 8.1 THE KRZYZ CONJECTURE 127 8.2 THE ANGLE
CONJECTURE 128 8.3 THE GENERALIZED GOODMAN CONJECTURE 131 8.4 BLOCH AND
SEVERAL VARIABLE PROBLEMS 139 8.5 ON SUMS OF INVERSE COEFFICIENTS 140
BIBLIOGRAPHY 143 INDEX 155
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| author | Avchadiev, Farit G. Wirths, Karl-Joachim |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:34:01Z |
| institution | BVB |
| isbn | 9783764399993 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017306084 |
| oclc_num | 297148421 |
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| owner | DE-20 DE-11 |
| owner_facet | DE-20 DE-11 |
| physical | VIII, 156 S. 240 mm x 170 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Frontiers in Mathematics |
| spelling | Avchadiev, Farit G. Verfasser (DE-588)140023348 aut Schwarz-Pick type inequalities Farit G. Avkhadiev ; Karl-Joachim Wirths Basel [u.a.] Birkhäuser 2009 VIII, 156 S. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Frontiers in Mathematics Funktionentheorie - Ungleichung Geometric function theory Holomorphic functions Ungleichung (DE-588)4139098-2 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Ungleichung (DE-588)4139098-2 s DE-604 Wirths, Karl-Joachim Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017306084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Avchadiev, Farit G. Wirths, Karl-Joachim Schwarz-Pick type inequalities Funktionentheorie - Ungleichung Geometric function theory Holomorphic functions Ungleichung (DE-588)4139098-2 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4139098-2 (DE-588)4018935-1 |
| title | Schwarz-Pick type inequalities |
| title_auth | Schwarz-Pick type inequalities |
| title_exact_search | Schwarz-Pick type inequalities |
| title_full | Schwarz-Pick type inequalities Farit G. Avkhadiev ; Karl-Joachim Wirths |
| title_fullStr | Schwarz-Pick type inequalities Farit G. Avkhadiev ; Karl-Joachim Wirths |
| title_full_unstemmed | Schwarz-Pick type inequalities Farit G. Avkhadiev ; Karl-Joachim Wirths |
| title_short | Schwarz-Pick type inequalities |
| title_sort | schwarz pick type inequalities |
| topic | Funktionentheorie - Ungleichung Geometric function theory Holomorphic functions Ungleichung (DE-588)4139098-2 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Funktionentheorie - Ungleichung Geometric function theory Holomorphic functions Ungleichung Funktionentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017306084&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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