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Book Cover
Author Evans, Lawrence C., 1949- author.

Title Measure theory and fine properties of functions / Lawrence C. Evans, Ronald F. Gariepy
Edition Revised edition
Published Boca Raton, FL : CRC Press, [2015]
Online access available from:
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Description 1 online resource (xiv, 296 pages) : illustrations
Series Textbooks in Mathematics
Textbooks in mathematics (Boca Raton, Fla.)
Contents General Measure Theory -- Hausdorff Measures -- Area and Coarea Formulas -- Sobolev Functions -- Functions of Bounded Variation, Sets of Finite Perimeter -- Differentiability, Approximation by C1 Functions
Summary 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
Notes "A Chapman & Hall book."
Bibliography Includes bibliographical references (pages 289-291)
Notes Print version record
Subject Functional analysis.
Measure theory.
Functional analysis.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Measure theory.
Form Electronic book
Author Gariepy, Ronald F., author.
ISBN 1482242397