Distortion theorems in relation to linear integral operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | Mathematics and its applications
385 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 305 S. |
| ISBN: | 0792343042 |
Internformat
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| 100 | 1 | |a Komatu, Yûsaku |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Distortion theorems in relation to linear integral operators |c by Yûsaku Komatu |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1996 | |
| 300 | |a VIII, 305 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 385 | |
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Datensatz im Suchindex
| _version_ | 1804125678436614144 |
|---|---|
| adam_text | Table of Contents
Preface vii
Chapter 0. Introduction
§ 1. Overview 1
Part I. Integral Operators 7
Chapter 1. Basic integral operators
§ 2. Linear integral operator 8
§ 3. Additive family of operators 10
§ 4. The case possessing a density 24
a
§ 5. Operator generated by t 27
Chapter 2. Properties of integral operators
§ 6. Relations to fractional calculus 33
§ 7. Relations to integration operator 40
§ 8. Generalizations 47
§ 9. Examples 56
Chapter 3. Applications
§ 10. Product of operators 63
§ 11. Analytic prolongation 75
§ 12. Functional equations 81
vi Table of contents
Part II. Distortion Theorems 8?
Chapter 4. Distortions on univalent functions
§ 13. Maximum modulus 88
§ 14. Classes related to univalent functions 100
§ 15. Univalent functions 105
§ 16. Particular subclasses 120
§ 17. Mean distortions 137
Chapter 5. Distortions on real part
§ 18. Real part of analytic functions 143
§ 19. Several remarks 156
§ 20. Bounds on real part 164
§ 21. Distortions by a differential operator 168
§ 22. Generalizations to higher order 181
§ 23. Application of subordination 191
Chapter 6. Distortions on miscellaneous functionals
§ 24. Oscillation 196
§ 25. Length and area 212
§ 26. Evaluation of bounds 224
§ 27. Range of functions in Caratheodory class 230
§ 28. A general operator on Caratheodory class 241
§ 29. Mean distortions of fractional integral 263
§ 30. Angular derivative 276
References 295
Index of names 30i
IndeX Of tOpiCS — containing symbols 303
|
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| id | DE-604.BV011183351 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:23Z |
| institution | BVB |
| isbn | 0792343042 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007499283 |
| oclc_num | 246725728 |
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| owner | DE-12 |
| owner_facet | DE-12 |
| physical | VIII, 305 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Komatu, Yûsaku Verfasser aut Distortion theorems in relation to linear integral operators by Yûsaku Komatu Dordrecht [u.a.] Kluwer 1996 VIII, 305 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 385 Linearer Integraloperator (DE-588)4167719-5 gnd rswk-swf Deformationsmethode (DE-588)4148994-9 gnd rswk-swf Deformationsmethode (DE-588)4148994-9 s Linearer Integraloperator (DE-588)4167719-5 s DE-604 Mathematics and its applications 385 (DE-604)BV008163334 385 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007499283&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Komatu, Yûsaku Distortion theorems in relation to linear integral operators Mathematics and its applications Linearer Integraloperator (DE-588)4167719-5 gnd Deformationsmethode (DE-588)4148994-9 gnd |
| subject_GND | (DE-588)4167719-5 (DE-588)4148994-9 |
| title | Distortion theorems in relation to linear integral operators |
| title_auth | Distortion theorems in relation to linear integral operators |
| title_exact_search | Distortion theorems in relation to linear integral operators |
| title_full | Distortion theorems in relation to linear integral operators by Yûsaku Komatu |
| title_fullStr | Distortion theorems in relation to linear integral operators by Yûsaku Komatu |
| title_full_unstemmed | Distortion theorems in relation to linear integral operators by Yûsaku Komatu |
| title_short | Distortion theorems in relation to linear integral operators |
| title_sort | distortion theorems in relation to linear integral operators |
| topic | Linearer Integraloperator (DE-588)4167719-5 gnd Deformationsmethode (DE-588)4148994-9 gnd |
| topic_facet | Linearer Integraloperator Deformationsmethode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007499283&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT komatuyusaku distortiontheoremsinrelationtolinearintegraloperators |