中文

Koenigs域的Hardy数:尖锐估计

复变函数 2024-06-14 v2

摘要

Ω\Omega为复平面C\mathbb{C}中的一个正规Koenigs域。我们证明了Ω\Omega的Hardy数大于或等于1/21/2。即,单位圆盘中的每个全纯函数f:DΩf : \mathbb{D} \to \Omega都属于Hardy空间Hp(D)H^{p}(\mathbb{D}),其中p<1/2p<1/2

关键词

引用

@article{arxiv.2405.17621,
  title  = {Hardy Number of Koenigs Domains: Sharp Estimate},
  author = {Manuel D. Contreras and Francisco J. Cruz-Zamorano and Maria Kourou and Luis Rodríguez-Piazza},
  journal= {arXiv preprint arXiv:2405.17621},
  year   = {2024}
}

备注

This draft is not for submission. It has been incorporated as an improvement in a previous work, see arXiv:2312.17101