Measure Theory and Fine Properties of Functions, Revised Edition(Textbooks in Mathematics)

衡量函数理论与优良性能 修订版(丛书)

应用数学

售   价:
570.00
出  版 社
出版时间
2015年04月14日
装      帧
精装
ISBN
9781482242386
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页      码
320
开      本
6-1/8x9-1/4
语      种
英文
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图书简介
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.
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