Compactness of averaging operators on non-reflexive Lebesgue spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910032850845696 |
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| author | Koshino, Katsuhisa |
| author_facet | Koshino, Katsuhisa |
| contents | Let $X$ be a Borel and Borel-regular metric measure space whose closed balls are of positive and finite measure. In this paper, we shall give equivalent conditions for averaging operators on non-reflexive Lebesgue spaces $L^1(X)$ and $L^\infty(X)$ on X to be compact, where X has some doubling property and satisfies certain uniform continuity between metric and measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21823 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Compactness of averaging operators on non-reflexive Lebesgue spaces Koshino, Katsuhisa Functional Analysis 47B01, 46E30, 46B50 Let $X$ be a Borel and Borel-regular metric measure space whose closed balls are of positive and finite measure. In this paper, we shall give equivalent conditions for averaging operators on non-reflexive Lebesgue spaces $L^1(X)$ and $L^\infty(X)$ on X to be compact, where X has some doubling property and satisfies certain uniform continuity between metric and measure. |
| title | Compactness of averaging operators on non-reflexive Lebesgue spaces |
| topic | Functional Analysis 47B01, 46E30, 46B50 |
| url | https://arxiv.org/abs/2602.21823 |