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.
Buy Harmonic Measure book by John B. Garnett from Australia's Online Bookstore, Boomerang Books.
(228mm x 152mm x 28mm)
Cambridge University Press
Publisher: Cambridge University Press
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Author Biography - John B. Garnett
John B. Garnett is Professor of Mathematics in the Department of Mathematics at University of California, Los Angeles. Donald E. Marshall is Professor of Mathematics in the Department of Mathematics at University of Washington, Seattle.