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 ndimensional 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 changeofvariable 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 289291) 
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 

9781482242393 
