The Molecular Characterizations of Variable Triebel-Lizorkin Spaces Associated with the Hermite Operator and Its Applications

Qi Sun, Ciqiang Zhuo

In this article, we introduce inhomogeneous variable Triebel-Lizorkin spaces, $F_{p(\cdot ),q(\cdot )}^{\alpha (\cdot ),H}({\mathbb{R}}^n)$, associated with the Hermite operator $H:=-\Delta +|x{|}^2$,…