000			01417 a2200241 4500
005			20250925152429.0
008			241204b |||||||| |||| 00| 0 eng d
020			_a9781138582491
041			_aeng
082			_a515.42 _bEvaM
100			_aEvans, Lawrence C.
245			_aMeasure Theory and Fine Properties of Functions / _cLawrence C. Evans and Ronald F. Gariepy
260			_aBoca Raton: _bCRC Press; _c©2015
300			_axiv, 299p.
490			_aTextbooks in Mathematics
520			_aThis 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.
650			_aAnalysis
650			_aIntegral Calculus and Equations
650			_aMathematics
650			_aScience
700			_aGariepy, Ronald F.
942			_cBK
999			_c7033 _d7033