Harmonic Measure

Informationen zum Autor 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. Klappentext An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov! Carleson! Jones and others. Zusammenfassung 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. Inhaltsverzeichnis 1. Jordan domains; 2. Finitely connected domains; 3. Potential theory; 4. Extremal distance; 5. Applications and reverse inequalities; 6. Simply connected domains, part one; 7. Bloch functions and quasicircles; 8. Simply connected domains, part two; 9. Infinitely connected domains; 10. Rectifiability and quadratic expressions; Appendices.

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.

Product details

• Authors: Donald E. (University of Washington) Marshall, John B. Marshall Garnett, Donald E. Marshall, John B. Garnett
• Publisher: Cambridge University Press ELT
• Content: Book
• Product form: Hardback
• Publication date: 04.04.2005
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematica
• EAN: 9780521470186
• ISBN: 978-0-521-47018-6
• Pages: 588
• Series: New Mathematical Monographs > 2; New Mathematical Monographs > 2