Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915728794320896 |
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| author | Blair, William L. |
| author_facet | Blair, William L. |
| contents | We extend representation formulas for functions in Hardy classes of solutions to higher-order iterated Vekua equations to Hardy classes of bicomplex-valued functions that solve a bicomplex version of the Vekua equation or its higher-order generalizations. Using these representations, we show that functions in these bicomplex-valued Hardy classes have nontangential boundary values and boundary values in the sense of distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04593 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations Blair, William L. Complex Variables Analysis of PDEs Classical Analysis and ODEs Functional Analysis We extend representation formulas for functions in Hardy classes of solutions to higher-order iterated Vekua equations to Hardy classes of bicomplex-valued functions that solve a bicomplex version of the Vekua equation or its higher-order generalizations. Using these representations, we show that functions in these bicomplex-valued Hardy classes have nontangential boundary values and boundary values in the sense of distributions. |
| title | Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations |
| topic | Complex Variables Analysis of PDEs Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2505.04593 |