Item Infomation
Title: | The metric-valued Lebesgue differentiation theorem in measure spaces and its applications |
Authors: | Danka, Lučić Enrico, Pasqualetto |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s43036-023-00258-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7511 |
Appears in Collections | OER - Khoa học Tự nhiên |
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