Harmonic Measure

John B. Garnett, Donald E. Marshall - Collection New Mathematical Monographs

585 pages, parution le 08/06/2005

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Résumé

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 book form 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.

Early chapters designed for a second year graduate course in complex analysis; later chapters bring the reader up to the cutting edge of research
Picks up where other books leave off in recent intensive investigations in complex analysis
Lots of exercises

L'auteur - John B. Garnett

John B. Garnett : University of California, Los Angeles

L'auteur - Donald E. Marshall

Donald E. Marshall : University of Washington

Sommaire

Jordan domains
Finitely connected domains
Potential theory
Extremal 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
Appendices

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	John B. Garnett, Donald E. Marshall
Collection	New Mathematical Monographs
Parution	08/06/2005
Nb. de pages	585
Format	16,5 x 23,5
Couverture	Relié
Poids	885g
Intérieur	Noir et Blanc
EAN13	9780521470186
ISBN13	978-0-521-47018-6