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Metric in Measure Spaces

Metric in Measure Spaces

Hardcover

General Mathematics

ISBN10: 9813200391
ISBN13: 9789813200395
Publisher: World Scientific Publishing Company
Published: Nov 29 2019
Pages: 308
Weight: 1.28
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English

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.

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General Mathematics