Measure Theory and Fine Properties of Functions, Revised Edition

Revised Auflage
ISBN: 978-1-4822-4238-6
Verlag: CRC Press

Buch, Englisch, 314 Seiten, Format (B × H): 164 mm x 242 mm, Gewicht: 595 g

Reihe: Textbooks in Mathematics

Updated throughout, the new edition of this classic textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Along with a quick review of abstract measure theory, the book covers 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.

Zielgruppe

Academic

Autoren/Hrsg.

Evans, Lawrence Craig

Gariepy, Ronald F

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

General Measure Theory. Hausdorff Measures. Area and Coarea Formulas. Sobolev Functions. Functions of Bounded Variation, Sets of Finite Perimeter. Differentiability, Approximation by C1 Functions. Bibliography.

Über Autor(innen)

Lawrence Craig Evans, University of California, Berkeley, USA
Ronald F. Gariepy, University of Kentucky, Lexington, USA