Metric in Measure Spaces

Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap.
Contents: Measure and Outer MeasureConstruction of Outer MeasuresMetric Outer Measures and Borel Outer MeasuresHausdorff MeasuresHausdorff Measures on Linear SpacesCovering Theorems in a Metric SpaceDifferentiation of MeasuresAveraging Operators and Differentiation of IntegralsLebesgue Differentiation Theorem for IntegralsHardy-Littlewood Maximal FunctionsDensity of SetsApproximate Limit and Approximate ContinuityLipschitz MappingsIntegration with Respect to a Measure on a Metric Space
Readership: Mathematicians and graduate students in mathematics. Measure Theory0Key Features:The book is uniqueIt is written clearly and very readable