TY  - BOOK
AU  - Wheeden,Richard L.
AU  - Zygmund,Antoni
TI  - Measure and integral: an introduction to real analysis
SN  - 0824764994
U1  - 515.42  
PY  - 1977///
CY  - New York
PB  - M. Dekker
KW  - Measure theory
KW  - Integrals, Generalized
N1  - Includes index; Preliminaries Points and Sets in RnRn as a Metric SpaceOpen and Closed Sets in Rn: Special SetsCompact Sets; The Heine-Borel TheoremFunctionsContinuous Functions and TransformationsThe Riemann IntegralExercises Function of Bounded Variation; The Riemann-Stieltjes Integral Functions of Bounded VariationRectifiable CurvesThe Reiman-Stieltjes IntegralFurther Results About the Reimann-Stieltjes IntegralsExercises Lebesgue Measure and Outer Measure Lebesgue Outer Measures; The Cantor Set. Lebesgue Measurable SetsTwo Properties of Lebesgue MeasureCharacterizations of MeasurabilityLipschitz Transformations of RnA Nonmeasurable Set. ExercisesLebesgue Measurable Functions Elementary Properties of Measurable Functions. Semicontinuous FunctionsProperties of Measurable Functions; Egorov's Theorem and Lusin's TheoremConvergence in MeasureExercisesThe Lebesgue IntegralDefinition of the Integral of a Nonnegative FunctionProperties of the IntegralThe Integral of an Arbitrary Measurable f A Relation Between Riemann-Stieltjes and Lebesgue Integrals; the LP Spaces, 0
ER  -