On embedding theorems for function spaces with mixed logarithmic smoothness

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发表日期：

2024年12月31日

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G. Akishev

摘要

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