Limit theorems for mixed-norm sequence spaces with applications to volume distribution

Michael Juhos, Zakhar Kabluchko, Joscha Prochno

Let $p,q\in (0,\infty ]$ and ${\ell }_p^m({\ell }_q^n)$ be the mixed-norm sequence space of real matrices $x=(x_{i,j}{)}_{i\le m,j\le n}$ endowed with the (quasi-)norm $\Vert x \…