Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $E({\mathbb{T}}_{\theta }^d),F({\mathbb{T}}_{\theta }^d)$ be two symmetric operator spaces on noncommutative torus ${\mathbb{T}}_{\theta }^d$ corresponding to symmetric function spaces $E,F$ on $(0,1)…