Authors:
- Covers the development of the area from the first half of the 20th century to the last decade
- Well suited for self-study
- Necessary facts presented mostly with detailed proofs
- Includes supplementary material: sn.pub/extras
Part of the book series: Monographs in Mathematics (MMA, volume 103)
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Table of contents (5 chapters)
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Front Matter
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Lipschitz Extensions from Subsets of Metric Spaces
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Front Matter
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Smooth Extension and Trace Problems for Functions on Subsets of â„ť n
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Front Matter
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Smooth Extension and Trace Problems for Functions on Subsets of Rn
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Back Matter
About this book
Reviews
“Book under review is enormous in scope and contains most of the old and current results on extension problems. Many of the theorems appear here for the first time in book form. The book is self-contained, and the detailed arguments make it accessible to a wide audience, especially graduate students interested in getting into the subject. … It will become a standard reference in the subject, and it deserves a spot in the library.” (Garving K. Luli, Bulletin of the American Mathematical Society, Vol. 53 (1), January, 2016)
“The two-volume monograph is divided into ten chapters, with five chapters in each volume. … Volume II reports on the recent progress in the area of the extension and trace problems. … the book successfully conveys the authors’ coherent vision for the subject, with the emphasis on linear extension operators, finiteness properties, and the treatment of extension via selection. It is certain to become a standard reference in the field.” (Leonid V. Kovalev, Mathematical Reviews, Issue 2012 j)Authors and Affiliations
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, Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
Alexander Brudnyi
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, Mathematics Department, Technion - Israel Institute of Technolog, Haifa, Israel
Yuri Brudnyi
Bibliographic Information
Book Title: Methods of Geometric Analysis in Extension and Trace Problems
Book Subtitle: Volume 2
Authors: Alexander Brudnyi, Yuri Brudnyi
Series Title: Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-0212-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel AG 2012
Hardcover ISBN: 978-3-0348-0211-6Published: 07 October 2011
Softcover ISBN: 978-3-0348-0339-7Published: 29 November 2013
eBook ISBN: 978-3-0348-0212-3Published: 07 October 2011
Series ISSN: 1017-0480
Series E-ISSN: 2296-4886
Edition Number: 1
Number of Pages: XX, 416
Topics: Functional Analysis