Harmonic Measure (New Mathematical Monographs, Series Number 2) - Softcover

Garnett, John B.; Marshall, Donald E.

Softcover

ISBN 10: 0521720605 ISBN 13: 9780521720601

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

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.

About the Author:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521720605
• ISBN 13: 9780521720601
• Binding: Paperback
• Edition number: 1
• Number of pages: 592