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Metric in measure spaces /

Yeh, J.

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Metric in measure spaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Metric in measure spaces // J Yeh, University of California, Irvine, USA.
作者:	Yeh, J.
出版者:	New Jersey :World Scientific, : c2020.,
面頁冊數:	x, 297 p. ;25 cm.
內容註:	Measure and outer measure -- Construction of outer measures -- Metric outer measures and Borel outer measures -- Hausdorff measures -- Hausdorff measures on linear spaces -- Covering theorems in a metric space -- 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 -- Integration with respect to a measure on a metric space.
標題:	Measure theory. -
ISBN:	9789813200395

Metric in measure spaces /
Yeh, J.

Metric in measure spaces /J Yeh, University of California, Irvine, USA. - New Jersey :World Scientific,c2020. - x, 297 p. ;25 cm.

Measure and outer measure -- Construction of outer measures -- Metric outer measures and Borel outer measures -- Hausdorff measures -- Hausdorff measures on linear spaces -- Covering theorems in a metric space -- 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 -- Integration with respect to a measure on a metric space.

"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."--

ISBN: 9789813200395US98.00

LCCN: 2019049780Subjects--Topical Terms:

516951
Measure theory.

LC Class. No.: QA312 / .Y43 2020

Dewey Class. No.: 515/.42

Metric in measure spaces /
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245 1 0 $a Metric in measure spaces / $c J Yeh, University of California, Irvine, USA.
260 # $a New Jersey : $b World Scientific, $c c2020.
300 $a x, 297 p. ; $c 25 cm.
505 0 # $a Measure and outer measure -- Construction of outer measures -- Metric outer measures and Borel outer measures -- Hausdorff measures -- Hausdorff measures on linear spaces -- Covering theorems in a metric space -- 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 -- Integration with respect to a measure on a metric space.
520 # $a "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."-- $c Provided by publisher.
650 # 0 $a Measure theory. $3 516951
650 # 0 $a Metric spaces. $3 546825
650 # 0 $a Mathematical analysis. $3 516833