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

2014

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DOI 10.1134/s0037446614020189
Data confidence 70 medium
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Abstract

The embedding of the anisotropic spaces $$B_{p_1 , \ldots ,p_n ,\theta }^{\omega _1 , \ldots ,\omega _n } \left( {\mathbb{R}^n } \right)$$ with mixed norm is studied. We establish some necessary and sufficient conditions of the embedding $$B_{p_1 , \ldots ,p_n ,\theta }^{\omega _1 , \ldots ,\omega _n } \left( {\mathbb{R}^n } \right) \subset L^{q_1 , \ldots ,q_n } \left( {\mathbb{R}^n } \right)$$ .