Boundedness properties of modified averaging operators and geometrically doubling metric spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909980336062464 |
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| author | Aldaz, J. M. Caldera, A. |
| author_facet | Aldaz, J. M. Caldera, A. |
| contents | We characterize the geometrically doubling condition of a metric space in terms of the uniform $L^1$-boundedness of superaveraging operators, where uniform refers to the existence of bounds independent of the measure being considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness properties of modified averaging operators and geometrically doubling metric spaces Aldaz, J. M. Caldera, A. Functional Analysis We characterize the geometrically doubling condition of a metric space in terms of the uniform $L^1$-boundedness of superaveraging operators, where uniform refers to the existence of bounds independent of the measure being considered. |
| title | Boundedness properties of modified averaging operators and geometrically doubling metric spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2403.10445 |