A homotopy formula for $a_q$ domains in complex manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910923771346944 |
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| author | Gong, Xianghong Shi, Ziming |
| author_facet | Gong, Xianghong Shi, Ziming |
| contents | We construct a global homotopy formula for $a_q$ domains in a complex manifold. The homotopy operators in the formula will gain $1/2$ derivative in Hölder-Zygmund spaces $Λ^{r}$ when the boundaries of the domains are in $Λ^{r+3}$ with $r>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22953 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A homotopy formula for $a_q$ domains in complex manifolds Gong, Xianghong Shi, Ziming Complex Variables 32F10, 32A26, 32W05 We construct a global homotopy formula for $a_q$ domains in a complex manifold. The homotopy operators in the formula will gain $1/2$ derivative in Hölder-Zygmund spaces $Λ^{r}$ when the boundaries of the domains are in $Λ^{r+3}$ with $r>0$. |
| title | A homotopy formula for $a_q$ domains in complex manifolds |
| topic | Complex Variables 32F10, 32A26, 32W05 |
| url | https://arxiv.org/abs/2503.22953 |