Format:
1 online resource (xv, 571 pages)
ISBN:
9780521470186
,
9780521720601
,
9780511546617
Series Statement:
New mathematical monographs 2
Content:
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.
Content:
Jordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521470186
Additional Edition:
ISBN 9780521720601
Additional Edition:
Garnett, John B., 1940 - Harmonic measure New York [u.a.] : Cambridge University Press, 2005 ISBN 0521470188
Additional Edition:
ISBN 9780521470186
Additional Edition:
Print version ISBN 9780521470186
Language:
English
Subjects:
Mathematics
Keywords:
Harmonisches Maß
DOI:
10.1017/CBO9780511546617
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