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Lectures on analysis on metric spaces

Author: Juha Heinonen
Publisher: New York ; Berlin ; Heidelberg : Springer, cop. 2001.
Series: Universitext
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Communicates some of the developments in this field. This title first studies basic covering theorems and their applications to analysis in metric measure spaces. It is followed by a discussion on  Read more...

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Document Type: Book
All Authors / Contributors: Juha Heinonen
ISBN: 0387951040 9780387951041
OCLC Number: 468571788
Notes: Bibliogr. p. [127]-135. Index.
Description: X-140 p. ; 25 cm.
Contents: 1. Covering Theorems.- 2. Maximal Functions.- 3. Sobolev Spaces.- 4. Poincare Inequality.- 5. Sobolev Spaces on Metric Spaces.- 6. Lipschitz Functions.- 7. Modulus of a Curve Family, Capacity, and Upper Gradients.- 8. Loewner Spaces.- 9. Loewner Spaces and Poincare Inequalities.- 10. Quasisymmetric Maps: Basic Theory I.- 11. Quasisymmetric Maps: Basic Theory II.- 12. Quasisymmetric Embeddings of Metric Spaces in Euclidean Space.- 13. Existence of Doubling Measures.- 14. Doubling Measures and Quasisymmetric Maps.- 15. Conformal Gauges.- References.
Series Title: Universitext
Responsibility: Juha Heinonen.
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