Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities

Jun Liu, Yaqian Lu, Mingdong Zhang

Let $\vec{p}\in (0,1{]}^n$ be a $n$-dimensional vector and $A$ a dilation. Let $H_A^{\vec{p}}({\mathbb{R}}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maxim…