TY  - GEN
AU  - Wheeden,Richard L.
AU  - Zygmund,Antoni
TI  - Measure and integral : : an introduction to real analysis 
T2  - Monographs and textbooks in pure and applied mathematics 
SN  - 9781498702898
U1  - 515.42 23
PY  - 2015///
CY  - Boca Raton
PB  - CRC Press
KW  - Measure theory.
KW  - Generalized Integrals.
N1  - Includes index; Chapter 1 Preliminaries; 
Chapter 2 Functions of Bounded Variation and the Riemann-Stieltjes Integral; 
Chapter 3 Lebesgue Measure and Outer Measure; 
Chapter 4 Lebesgue Measurable Functions; 
Chapter 5 The Lebesgue Integral; 
Chapter 6 Repeated Integration; 
Chapter 7 Differentiation; 
Chapter 8 Lp Classes; 
Chapter 9 Approximations of the Identity and Maximal Functions; 
Chapter 10 Abstract Integration. 
Chapter 11 Outer Measure and Measure 
Chapter 12 A Few Facts from Harmonic Analysis; 
Chapter 13 The Fourier Transform; 
Chapter 14 Fractional Integration; 
Chapter 15 Weak Derivatives and Poincaré-Sobolev Estimates; Notations; 
Index
N2  - This book provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.Published nearly forty years after the first edition, this long-awaited Second Edition also:Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 p Shows the Hilbert transform to be a bounded operator on L2, as
ER  -