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On a function space with mixed generalized logarithmic smoothness
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We consider the anisotropic Lorentz space of 2π-periodic functions of m variables and the Nikol’skii–Besov space of functions with mixed generalized logarithmic smoothness. Embedding theorems are proved for spaces of functions with mixed generalized logarithmic smoothness.
Title: On a function space with mixed generalized logarithmic smoothness
Description:
We consider the anisotropic Lorentz space of 2π-periodic functions of m variables and the Nikol’skii–Besov space of functions with mixed generalized logarithmic smoothness.
Embedding theorems are proved for spaces of functions with mixed generalized logarithmic smoothness.
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