Measure Theory and Fine Properties of Functions

Autorentext
LawrenceCraig Evans

Klappentext
This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the find properties of sets and functions. Discussions include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. The text includes proofs of many key results omitted from other books, including Besicovitch's covering theorem, Rademacher's theorem, and the area and coarea formulas.

Zusammenfassung
Offers an examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the find properties of sets and functions. This book includes proofs of various key results omitted from other books, including Besicovitch's covering theorem.

Inhalt
Preface, 1: General Measure Theory, 2: Hausdorff Measure, 3: Area and Coarea Formulas, 4: Sobolev Functions, 5: BV Functions and Sets of Finite Perimeter, 6: Differentiability and Approximation by C1 Functions, Bibliography, Notation, Index

#	Onlineshop	Preis CHF	Versand CHF	Total CHF
1	Seller	0.00	0.00	0.00