Juha Heinonen, Pekka Koskela, Nageswari Shanmugalingam

Sobolev Spaces on Metric Measure Spaces

• Gebundenes Buch

Produktbeschreibung

This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 448
• Erscheinungstermin: 5. Januar 2015
• Englisch
• Abmessung: 235mm x 157mm x 31mm
• Gewicht: 873g
• ISBN-13: 9781107092341
• ISBN-10: 1107092345
• Artikelnr.: 41453469

Autorenporträt

Juha Heinonen (1960-2007) was Professor of Mathematics at the University of Michigan. His principal areas of research interest included quasiconformal mappings, nonlinear potential theory, and analysis on metric spaces. He was the author of over 60 research articles, including several posthumously, and two textbooks. A member of the Finnish Academy of Science and Letters, Heinonen received the Excellence in Research Award from the University of Michigan in 1997 and gave an invited lecture at the International Congress of Mathematicians in Beijing in 2002.

Inhaltsangabe

Preface
1. Introduction
2. Review of basic functional analysis
3. Lebesgue theory of Banach space-valued functions
4. Lipschitz functions and embeddings
5. Path integrals and modulus
6. Upper gradients
7. Sobolev spaces
8. Poincaré inequalities
9. Consequences of Poincaré inequalities
10. Other definitions of Sobolev-type spaces
11. Gromov-Hausdorff convergence and Poincaré inequalities
12. Self-improvement of Poincaré inequalities
13. An Introduction to Cheeger's differentiation theory
14. Examples, applications and further research directions
References
Notation index
Subject index.