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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.06830 |
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| _version_ | 1866912732941385728 |
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| author | Alves, Nuno J. Oniani, Giorgi G. |
| author_facet | Alves, Nuno J. Oniani, Giorgi G. |
| contents | Asymptotic $L_p$-convergence, which resembles convergence in $L_p$, was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_p$-convergence with convergence in measure and in weak $L_p$ spaces. One of the results characterizes convergence in measure on finite measure spaces in terms of asymptotic $L_p$-convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06830 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relation between asymptotic $L_p$-convergence and some classical modes of convergence Alves, Nuno J. Oniani, Giorgi G. Classical Analysis and ODEs 28A20 Asymptotic $L_p$-convergence, which resembles convergence in $L_p$, was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_p$-convergence with convergence in measure and in weak $L_p$ spaces. One of the results characterizes convergence in measure on finite measure spaces in terms of asymptotic $L_p$-convergence. |
| title | Relation between asymptotic $L_p$-convergence and some classical modes of convergence |
| topic | Classical Analysis and ODEs 28A20 |
| url | https://arxiv.org/abs/2407.06830 |