Journal of the
Korean Mathematical Society JKMS

In this article we examine certain distinctive features regarding Hardy spaces of both classical and product notions on $\Bbb R^N$ with our focus on their interrelations through embeddings and restrictions. Applications of our results to multiple singular integrals are included.

Keywords: Hardy spaces, covering lemmas, product factors, restriction inequalities, multiple singular integrals

MSC numbers: Primary 42B30, 42B20