Big Hankel operators on Hardy spaces of strongly pseudoconvex domains

preprint2021arXivOpen access

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.

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