Methods of Geometric Analysis in Extension and Trace Problems Volume 2 /

• 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 ; 103
• Subjects: Mathematics.; Functional analysis.; Functional Analysis.

This is the second 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 developmen...

Table of Contents:

• Part 3. Lipschitz Extensions from Subsets of Metric Spaces
• Chapter 6. Extensions of Lipschitz Maps
• Chapter 7. Simultaneous Lipschitz Extensions
• Chapter 8. Linearity and Nonlinearity
• Part 4. Smooth Extension and Trace Problems for Functions on Subsets of Rn
• Chapter 9. Traces to Closed Subsets: Criteria, Applications
• Chapter 10. Whitney Problems
• Bibliography
• Index.