Editorial Reviews:
Product Description
This book provides an enlightening survey of remarkable new results that have only recently been discovered in the past two decades about harmonic measure in the complex plane. 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.
Book Description
This book provides a careful survey of the remarkable new results about harmonic measure in the complex plane, and an introduction to harmonic measure on plane domains. Many results, due to Bishop, Carleson, Jones, Makarov, Wolff, Bertilsson, Pommerenke and others, appear here in paperback for the first time.
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