Analysis On Metric Spaces; Author: Heinonen, Juha; Hardback; Book

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Analysis On Metric Spaces

Author: Heinonen, Juha
Universitext; Hardback; Book
135 pages
Published: October 2000
Springer-Verlag New York Inc.
ISBN: 0387951040

The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is recent and appears for the first time in book format.Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. This book communicates some works in the area of analysis, while preparing the reader to study more substantial, related articles.

PRODUCT CODE: 0387951040

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