On slice regular fractal-fractional Dirichlet type spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909651347439616 |
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| author | González-Cervantes, José Oscar Moreno-Muñoz, Carlos Alejandro Bory-Reyes, Juan |
| author_facet | González-Cervantes, José Oscar Moreno-Muñoz, Carlos Alejandro Bory-Reyes, Juan |
| contents | In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated quaternionic exponential function on slices. Important Banach spaces of slice regular functions, namely the Bergman and the Dirichlet modules, are two important elements of one of our families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On slice regular fractal-fractional Dirichlet type spaces González-Cervantes, José Oscar Moreno-Muñoz, Carlos Alejandro Bory-Reyes, Juan Complex Variables In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated quaternionic exponential function on slices. Important Banach spaces of slice regular functions, namely the Bergman and the Dirichlet modules, are two important elements of one of our families. |
| title | On slice regular fractal-fractional Dirichlet type spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2506.14172 |