Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911120449601536 |
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| author | Yadav, Asheesh Kumar Kumar, Himanshu Verma, Saurabh Selmi, Bilel |
| author_facet | Yadav, Asheesh Kumar Kumar, Himanshu Verma, Saurabh Selmi, Bilel |
| contents | In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation space on the well-known fractal domain Sierpiński gasket. We further explore the properties of these operators from the perspectives of operator and approximation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket Yadav, Asheesh Kumar Kumar, Himanshu Verma, Saurabh Selmi, Bilel Functional Analysis Dynamical Systems 28A80, 47B38, 47A58 In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation space on the well-known fractal domain Sierpiński gasket. We further explore the properties of these operators from the perspectives of operator and approximation theory. |
| title | Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket |
| topic | Functional Analysis Dynamical Systems 28A80, 47B38, 47A58 |
| url | https://arxiv.org/abs/2508.14436 |