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Harmonic Measure
Luca Capogna
Carlos E. Kenig
Loredana Lanzani
其他書名
Geometric and Analytic Points of View
出版
American Mathematical Soc.
, 2005
主題
Mathematics / Calculus
Mathematics / Differential Equations / Partial
Mathematics / Geometry / Differential
Mathematics / Mathematical Analysis
ISBN
0821827286
9780821827284
URL
http://books.google.com.hk/books?id=q0LyBwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.