Harmonic Measure
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Harmonic Measure
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Author : Luca Capogna
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Harmonic Measure written by Luca Capogna and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Recent developments in geometric measure theory and harmonic analysis have led to new and deep results concerning the regularity of the support of measures which behave "asymptotically" (for balls of small radius) as the Euclidean volume. A striking feature of these results is that they actually characterize flatness of the support in terms of the asymptotic behavior of the measure. Such characterizations have led to important new progress in the study of harmonic measure fornon-smooth domains. This volume provides an up-to-date overview and an introduction to the research literature in this area. The presentation follows a series of five lectures given by Carlos Kenig at the 2000 Arkansas Spring Lecture Series. The original lectures have been expanded and updated to reflectthe rapid progress in this field. A chapter on the planar case has been added to provide a historical perspective. Additional background has been included to make the material accessible to advanced graduate students and researchers in harmonic analysis and geometric measure theory.
Harmonic Measure
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Author : John B. Garnett
language : en
Publisher: Cambridge University Press
Release Date : 2005-04-04
Harmonic Measure written by John B. Garnett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-04 with Mathematics categories.
An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.
Applications Of Harmonic Measure
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Author : John B. Garnett
language : en
Publisher: Wiley-Interscience
Release Date : 1986
Applications Of Harmonic Measure written by John B. Garnett and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
This monograph illustrates how elementary harmonic measure arguments have broad applications. The author presents some recent results on harmonic measure and applications of harmonic measure estimates to problems in analysis and spectral theory. Most of the results included are not available in any other book. The treatment is elementary in that Brownian motion is not used--the introduction gives all the background needed for following the text. Chapters cover length sums, level curves of conformal mappings, interpolating sequences, nontangential limit sets, Makarov's theorems, and periodic spectra of Hill's equation.
Harmonic Measure
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Author : John B. Garnett
language : en
Publisher: Cambridge University Press
Release Date : 2005-04-04
Harmonic Measure written by John B. Garnett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-04 with Mathematics categories.
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.
Harmonic Measure
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Author : John B. Garnett
language : en
Publisher:
Release Date : 2014-05-14
Harmonic Measure written by John B. Garnett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
Metric Properties Of Harmonic Measures
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Author : V. Totik
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Metric Properties Of Harmonic Measures written by V. Totik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Introduction Metric properties of harmonic measures, Green functions and equilibrium measures Sharpness Higher order smoothness Cantor-type sets Phargmen-Lindelof type theorems Markov and Bernstein type inequalities Fast decreasing polynomials Remez and Schur type inequalities Approximation on compact sets Appendix References List of symbols List of figures Index
Harmonic Analysis And Boundary Value Problems
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Author : Luca Capogna
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Harmonic Analysis And Boundary Value Problems written by Luca Capogna and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This volume presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
Estimates Of Harmonic Measure And Applications
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Author : Hung Thac Nguyen
language : en
Publisher:
Release Date : 1985
Estimates Of Harmonic Measure And Applications written by Hung Thac Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Rigidity And Dimension Of The Harmonic Measure Of Julia Sets
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Author : Irina Popovici
language : en
Publisher:
Release Date : 1998
Rigidity And Dimension Of The Harmonic Measure Of Julia Sets written by Irina Popovici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Harmonic analysis categories.
Regidity Of Harmonic Measure
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Author : I. Popovici
language : en
Publisher:
Release Date : 1995
Regidity Of Harmonic Measure written by I. Popovici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.