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Sobolev Spaces on Metric Measure Spaces
Language: en
Pages: 447
Authors: Juha Heinonen
Categories: Mathematics
Type: BOOK - Published: 2015-02-05 - Publisher: Cambridge University Press

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This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
Sobolev Spaces on Metric Measure Spaces
Language: en
Pages: 447
Authors: Juha Heinonen
Categories: Mathematics
Type: BOOK - Published: 2015-02-05 - Publisher: Cambridge University Press

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Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially
Lectures on Analysis on Metric Spaces
Language: en
Pages: 158
Authors: Juha Heinonen
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: Springer Science & Business Media

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The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be rou
New Trends on Analysis and Geometry in Metric Spaces
Language: en
Pages: 312
Authors: Fabrice Baudoin
Categories: Mathematics
Type: BOOK - Published: 2022-02-04 - Publisher: Springer Nature

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This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by
Topics on Analysis in Metric Spaces
Language: en
Pages: 148
Authors: Luigi Ambrosio
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Oxford University Press, USA

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This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions