Methods of Geometric Analysis in Extension and Trace Problems Volume 1 /

• Main Authors: Brudnyi, Alexander (Author), Brudnyi, Yuri (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2012.
• Series: Monographs in Mathematics ; 102
• Subjects: Mathematics.; Functional analysis.; Functional Analysis.

This is the first of a two-volume work presenting a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers the development...

Table of Contents:

• Preface
• Basic Terms and Notation
• Part 1. Classical Extension-Trace Theorems and Related Results
• Chapter 1. Continuous and Lipschitz Functions
• Chapter 2. Smooth Functions on Subsets of Rn
• Part 2. Topics in Geometry of and Analysis on Metric Spaces
• Chapter 3. Topics in Metric Space Theory
• Chapter 4. Selected Topics in Analysis on Metric Spaces
• Chapter 5. Lipschitz Embedding and Selections
• Bibliography
• Index.