Non-absolute integrable function spaces on metric measure spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866914799424634880 |
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| author | Hazarika, Parthapratim Saha Bipan Kalita, Hemanta |
| author_facet | Hazarika, Parthapratim Saha Bipan Kalita, Hemanta |
| contents | Kuelbs-Steadman spaces are introduced in this article on a separable metric space with finite diameter and finite positive Borel measure. Kuelbs-Steadman spaces of the Lipschitz type are also discussed. Various inclusion properties are also discussed. In the sequel, we introduce HK-Sobolev spaces on metric mesure space which coincides with HK-Sobolev space in the Euclidean case. In application, we discuss the boundedness of Hardy-Littlewood maximal operator on Kuelbs-Steadman spaces and HK-Sobolev spaces over a metric measure space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05637 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-absolute integrable function spaces on metric measure spaces Hazarika, Parthapratim Saha Bipan Kalita, Hemanta Functional Analysis 46B25, 46E35, 46E36, 46F25 Kuelbs-Steadman spaces are introduced in this article on a separable metric space with finite diameter and finite positive Borel measure. Kuelbs-Steadman spaces of the Lipschitz type are also discussed. Various inclusion properties are also discussed. In the sequel, we introduce HK-Sobolev spaces on metric mesure space which coincides with HK-Sobolev space in the Euclidean case. In application, we discuss the boundedness of Hardy-Littlewood maximal operator on Kuelbs-Steadman spaces and HK-Sobolev spaces over a metric measure space. |
| title | Non-absolute integrable function spaces on metric measure spaces |
| topic | Functional Analysis 46B25, 46E35, 46E36, 46F25 |
| url | https://arxiv.org/abs/2311.05637 |