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arXiv · 2308.06737

On embedding theorems of spaces of functions with mixed logarithmic smoothness

G. Akishev
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Abstract

The article considers the Lorentz space $L_{p,\tau}(\mathbb{T}^{m})$, $2\pi$ of periodic functions of many variables and spaces with mixed logarithmic smoothness. Equivalent norms of a space with mixed logarithmic smoothness are found and embedding theorems are proved.

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G. Akishev. 2023-08-13. On embedding theorems of spaces of functions with mixed logarithmic smoothness. https://arxiv.org/abs/2308.06737

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