Harmonic measure:
During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makar...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schriftenreihe: | New mathematical monographs
2 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBW01 Volltext |
| Zusammenfassung: | During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 Online-Ressource (XV, 571 S.) |
| ISBN: | 9780511546617 |
| DOI: | 10.1017/CBO9780511546617 |
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| 490 | 0 | |a New mathematical monographs |v 2 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Jordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions | |
| 520 | |a During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers | ||
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Potential theory (Mathematics) | |
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Datensatz im Suchindex
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| author | Garnett, John B. 1940- |
| author_GND | (DE-588)13370856X (DE-588)135730929 |
| author_facet | Garnett, John B. 1940- |
| author_role | aut |
| author_sort | Garnett, John B. 1940- |
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| building | Verbundindex |
| bvnumber | BV043942221 |
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| collection | ZDB-20-CBO |
| contents | Jordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions |
| ctrlnum | (ZDB-20-CBO)CR9780511546617 (OCoLC)850226985 (DE-599)BVBBV043942221 |
| dewey-full | 515/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546617 |
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| id | DE-604.BV043942221 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511546617 |
| language | English |
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| spelling | Garnett, John B. 1940- Verfasser (DE-588)13370856X aut Harmonic measure John B. Garnett (University of California, Los Angeles), Donald E. Marshall (University of Washington) Cambridge Cambridge University Press 2005 1 Online-Ressource (XV, 571 S.) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 2 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Jordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers Functions of complex variables Potential theory (Mathematics) Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s DE-604 Marshall, Donald E. 1947- Sonstige (DE-588)135730929 oth Erscheint auch als Druckausgabe 978-0-521-47018-6 Erscheint auch als Druckausgabe 978-0-521-72060-1 https://doi.org/10.1017/CBO9780511546617 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Garnett, John B. 1940- Harmonic measure Jordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions Functions of complex variables Potential theory (Mathematics) Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4074626-4 |
| title | Harmonic measure |
| title_auth | Harmonic measure |
| title_exact_search | Harmonic measure |
| title_full | Harmonic measure John B. Garnett (University of California, Los Angeles), Donald E. Marshall (University of Washington) |
| title_fullStr | Harmonic measure John B. Garnett (University of California, Los Angeles), Donald E. Marshall (University of Washington) |
| title_full_unstemmed | Harmonic measure John B. Garnett (University of California, Los Angeles), Donald E. Marshall (University of Washington) |
| title_short | Harmonic measure |
| title_sort | harmonic measure |
| topic | Functions of complex variables Potential theory (Mathematics) Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Functions of complex variables Potential theory (Mathematics) Maßtheorie |
| url | https://doi.org/10.1017/CBO9780511546617 |
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