The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
CC BY
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Springer
2023
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| 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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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 |
| _version_ |
1762274901340717056 |
| score |
8.893527 |
