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The metric-valued Lebesgue differentiation theorem in measure spaces and its applications

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Bibliographic Details
Main Authors: Danka, Lučić, Enrico, Pasqualetto
Format: Book
Language:English
Published: Springer 2023
Subjects:
Radon–Nikodým property.
Online Access:https://link.springer.com/article/10.1007/s43036-023-00258-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7511
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spelling oai:localhost:PNK-75112023-04-04T09:21:12Z The metric-valued Lebesgue differentiation theorem in measure spaces and its applications Danka, Lučić Enrico, Pasqualetto Radon–Nikodým property. CC BY We prove a version of the Lebesgue differentiation theorem for mappings that are defined on a measure space and take values into a metric space, with respect to the differentiation basis induced by a von Neumann lifting. As a consequence, we obtain a lifting theorem for the space of sections of a measurable Banach bundle and a disintegration theorem for vector measures whose target is a Banach space with the Radon–Nikodým property. 2023-04-04T09:21:12Z 2023-04-04T09:21:12Z 2023 Book https://link.springer.com/article/10.1007/s43036-023-00258-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7511 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Radon–Nikodým property.
spellingShingle Radon–Nikodým property.
Danka, Lučić
Enrico, Pasqualetto
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
description CC BY
format Book
author Danka, Lučić
Enrico, Pasqualetto
author_facet Danka, Lučić
Enrico, Pasqualetto
author_sort Danka, Lučić
title The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
title_short The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
title_full The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
title_fullStr The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
title_full_unstemmed The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
title_sort metric-valued lebesgue differentiation theorem in measure spaces and its applications
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s43036-023-00258-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7511
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score 8.891053

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