Measure Theory and Fine Properties of Functions /
Evans, Lawrence C.
Measure Theory and Fine Properties of Functions / Lawrence C. Evans and Ronald F. Gariepy - Boca Raton: CRC Press; ©2015 - xiv, 299p. - Textbooks in Mathematics .
This book 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. The book covers theorems and differentiation in Rn , Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas and Sobolev functions and functions of bounded variation. This second edition includes countless improvements in notation, format and clarity of exposition. Also new are several sections describing the p-¿ theorem, weak compactness criteria in L1 and Young measure methods for weak convergence. In addition, the bibliography has been updated.
9781138582491
Analysis
Integral Calculus and Equations
Mathematics
Science
515.42 / EvaM
Measure Theory and Fine Properties of Functions / Lawrence C. Evans and Ronald F. Gariepy - Boca Raton: CRC Press; ©2015 - xiv, 299p. - Textbooks in Mathematics .
This book 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. The book covers theorems and differentiation in Rn , Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas and Sobolev functions and functions of bounded variation. This second edition includes countless improvements in notation, format and clarity of exposition. Also new are several sections describing the p-¿ theorem, weak compactness criteria in L1 and Young measure methods for weak convergence. In addition, the bibliography has been updated.
9781138582491
Analysis
Integral Calculus and Equations
Mathematics
Science
515.42 / EvaM