Measure theory and fine properties of functions. 2nd revised ed. (English) Zbl 1310.28001

Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-4238-6/hbk). 309 p. (2015).
From the publisher’s description: This revised edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the p-? theorem, weak compactness criteria in \(L^1\), and Young measure methods for weak convergence. In addition, the bibliography has been updated.
Topics are carefully selected and the proofs are succinct, but complete. This book provides ideal reading for mathematicians and graduate students in pure and applied mathematics.
See the review of the first edition in [Zbl 0804.28001].


28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
28A75 Length, area, volume, other geometric measure theory
28A78 Hausdorff and packing measures
26B15 Integration of real functions of several variables: length, area, volume
26B20 Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.)
26B25 Convexity of real functions of several variables, generalizations


Zbl 0804.28001