On the embedding of anisotropic Nikol’skiĭ-Besov mixed norm spaces

The embedding of the anisotropic spaces $B^{\omega_1,\dots,\omega_n}_{p_1,\dots,p_n,\theta}(\mathbb R^n)$ with mixed norm is studied. We establish some necessary and sufficient conditions of the embedding $B^{\omega_1,\dots,\omega_n}_{p_1,\dots,p_n,\theta}(\mathbb R^n)\subset L^{q_1,\dots,q_n}(\mathbb R^n)$.