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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.
Metric In Measure Spaces
Language: en
Pages: 308
Authors: James J Yeh
Categories: Mathematics
Type: BOOK - Published: 2019-11-18 - Publisher: World Scientific

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Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation.
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
Analysis and Geometry of Metric Measure Spaces
Language: en
Pages: 241
Authors: Galia Devora Dafni
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: American Mathematical Soc.

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Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 su
An Introduction to Measure Theory
Language: en
Pages: 206
Authors: Terence Tao
Categories: Education
Type: BOOK - Published: 2021-09-03 - Publisher: American Mathematical Soc.

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This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses