English

Hardy space, kernel function and Saitoh's conjecture on products of planar domains

Complex Variables 2022-11-01 v2

Abstract

In this article, we consider two classes of weighted Hardy spaces on products of planar domains and their corresponding kernel functions, and we prove product versions of Saitoh's conjecture related to the two classes of weighted Hardy spaces.

Keywords

Cite

@article{arxiv.2210.14579,
  title  = {Hardy space, kernel function and Saitoh's conjecture on products of planar domains},
  author = {Qi'an Guan and Zheng Yuan},
  journal= {arXiv preprint arXiv:2210.14579},
  year   = {2022}
}

Comments

85 pages, all comments are welcome. Some typos are corrected