English

Weighted versions of Saitoh's conjecture in fibration cases

Complex Variables 2024-09-17 v1

Abstract

In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these spaces, and we prove some weighted versions of Saitoh's conjecture in fibration cases.

Keywords

Cite

@article{arxiv.2409.10002,
  title  = {Weighted versions of Saitoh's conjecture in fibration cases},
  author = {Qi'an Guan and Gan Li and Zheng Yuan},
  journal= {arXiv preprint arXiv:2409.10002},
  year   = {2024}
}

Comments

48 pages. All comments are welcome!