Harmonic measure
Author(s)
Bibliographic Information
Harmonic measure
（New mathematical monographs）
Cambridge University Press, 2005
- : hbk
Available at / 37 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkGAR||11||305018464
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
hbk515.42/G1872080025397
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Note
Includes bibliographical references (p. 531-553) and indexes
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"