On Embedding Theorems for Spaces with Mixed Generalized Smoothness


Akishev G.
February 2025Pleiades Publishing

Lobachevskii Journal of Mathematics
2025#46Issue 2560 - 577 pp.

Abstract: We consider the anisotropic Lorentz space of -periodic functions of 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.

generalized smoothness , Lorentz space , Nikol’skii–Besov class

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LomonosovMoscow University, Kazakhstan Branch, Astana, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

LomonosovMoscow University
Institute of Mathematics and Mathematical Modeling

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