A homotopy formula for $a_q$ domains in complex manifolds

Xianghong Gong; Ziming Shi

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arXiv · 2503.22953

A homotopy formula for $a_q$ domains in complex manifolds

Xianghong Gong·Ziming Shi

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Abstract

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 H\"older-Zygmund spaces $\Lambda^{r}$ when the boundaries of the domains are in $\Lambda^{r+3}$ with $r>0$.

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BibTeX RIS

Xianghong Gong, Ziming Shi. 2025-03-29. A homotopy formula for $a_q$ domains in complex manifolds. https://arxiv.org/abs/2503.22953

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