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Big Hankel operators on Hardy spaces of strongly pseudoconvex domains

Complex Variables 2021-02-09 v1

Abstract

In this article, we investigate the (big) Hankel operators HfH_f on Hardy spaces of strongly pseudoconvex domains with smooth boundaries in Cn\mathbb{C}^n. We also give a necessary and sufficient condition for boundedness of the Hankel operator HfH_f on the Hardy space of the unit disc, which is new in the setting of one variable.

Keywords

Cite

@article{arxiv.2102.03999,
  title  = {Big Hankel operators on Hardy spaces of strongly pseudoconvex domains},
  author = {Bo-Yong Chen and Liangying Jiang},
  journal= {arXiv preprint arXiv:2102.03999},
  year   = {2021}
}

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23 pages