ENGLISH

Measure Theory and Fine Properties of Functions, Revised Edition

By Evans , Lawrence Craig; Gariepy , Ronald F

Book information

Publisher
CRC Press
Year
2015
ISBN
978-1-4822-4239-3, 143-143-145-1, 1482242397
Language
english
Format
PDF
Filesize
2 MB (1851589 bytes)
Series
Textbooks in Mathematics
Pages
313\313
Time added
2015-06-02 03:23:36
Measure theory. Functional analysis.

Description

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.The text provides complet. Read more... Abstract: Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.The text provides complet

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