Editors:
- New results on actual topics of function spaces presented by leading world-recognized specialists and connected with earlier fundamental results of Prof. Maz'ya
- There are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results play a key role in many areas of analysis and PDEs.
- Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya:
- It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results.
- All the results are new and never published earlier
- The mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participants of these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume
- Includes supplementary material: sn.pub/extras
Part of the book series: International Mathematical Series (IMAT, volume 11)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists. Sobolev type spaces, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimal Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.
Editors and Affiliations
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Department of Mathematics, Imperial College, London, United Kingdom
Ari Laptev
Bibliographic Information
Book Title: Around the Research of Vladimir Maz'ya I
Book Subtitle: Function Spaces
Editors: Ari Laptev
Series Title: International Mathematical Series
DOI: https://doi.org/10.1007/978-1-4419-1341-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-1-4419-1340-1Published: 04 January 2010
Softcover ISBN: 978-1-4614-2547-2Published: 25 February 2012
eBook ISBN: 978-1-4419-1341-8Published: 02 December 2009
Series ISSN: 1571-5485
Series E-ISSN: 1574-8944
Edition Number: 1
Number of Pages: XXII, 398
Number of Illustrations: 3 b/w illustrations
Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics: Analysis, Partial Differential Equations, Functional Analysis, Approximations and Expansions