Harmonic Measure
(Sprache: Englisch)
An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.
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An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.
Klappentext zu „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, 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.
Inhaltsverzeichnis zu „Harmonic Measure “
1. Jordan domains; 2. Finitely connected domains; 3. Potential theory; 4. Extremal distance; 5. Applications and reverse inequalities; 6. Simply connected domains, part one; 7. Bloch functions and quasicircles; 8. Simply connected domains, part two; 9. Infinitely connected domains; 10. Rectifiability and quadratic expressions; Appendices.
Autoren-Porträt von John B. Garnett, Donald E. Marshall
Garnett, John B.John B. Garnett is Professor of Mathematics in the Department of Mathematics at University of California, Los Angeles.
Bibliographische Angaben
- Autoren: John B. Garnett , Donald E. Marshall
- 2005, 588 Seiten, mit Abbildungen, Gebunden, Englisch
- Verlag: Cambridge University Press
- ISBN-10: 0521470188
- ISBN-13: 9780521470186
Sprache:
Englisch
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