Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915176531361792 |
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| author | Hu, Manjie Ding, Chao Shen, Yifei Wang, Jiani |
| author_facet | Hu, Manjie Ding, Chao Shen, Yifei Wang, Jiani |
| contents | The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20737 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions Hu, Manjie Ding, Chao Shen, Yifei Wang, Jiani Complex Variables 30G35, 32A30, 44A05 The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well. |
| title | Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions |
| topic | Complex Variables 30G35, 32A30, 44A05 |
| url | https://arxiv.org/abs/2502.20737 |