Lusin characterisation of Hardy spaces associated with Hermite operators

Tan Duc Do, Trong Ngoc Nguyen, Truong Xuan Le

Let $d\in \{3,4,5,\dots \}$ and $p\in (0,1]$. We consider the Hermite operator $L=-\Delta +|x{|}^2$ on its maximal domain in $L^2({\mathbb{R}}^d)$. Let $H_L^p({\mathbb{R}}^d)$ be the c…