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 Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy–Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings;

Readership: Mathematicians and graduate students in mathematics.

Product details

• Authors: J Yeh, James J Yeh, James J Yeh, James J. Yeh
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2020
• EAN: 9789813200401
• ISBN: 978-981-3200-40-1
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Mathematical Analysis, MATHEMATICS / Reference, MATHEMATICS / Measurement, measure theory, Calculus & mathematical analysis, Calculus and mathematical analysis