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Schwarz-Pick type inequalities:

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Bibliographic Details
Main Authors:	Avchadiev, Farit G. (Author), Wirths, Karl-Joachim (Author)
Format:	Book
Language:	English
Published:	Basel [u.a.] Birkhäuser 2009
Series:	Frontiers in Mathematics
Subjects:	Funktionentheorie - Ungleichung Geometric function theory Holomorphic functions Ungleichung Funktionentheorie
Links:	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
Physical Description:	VIII, 156 S. 240 mm x 170 mm
ISBN:	9783764399993

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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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id	DE-604.BV035385200
illustrated	Not Illustrated
indexdate	2024-12-20T13:31:17Z
institution	BVB
isbn	9783764399993
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017306084
oclc_num	297148421
open_access_boolean
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
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
work_keys_str_mv	AT avchadievfaritg schwarzpicktypeinequalities AT wirthskarljoachim schwarzpicktypeinequalities

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