On a function space with mixed generalized logarithmic smoothness
https://doi.org/10.26907/2949-3919.2024.2.4-29
Abstract
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.
Supporting agencies: This work was supported by a grant the Committee of Science of the Ministry of Science and Higher Education of the Republic of Kazakhstan (project AP19677486).
About the Author
G. Akishev
Lomonosov Moscow University, Kazakhstan Branch;
Institute of mathematics and mathematical modeling
Kazakhstan
Kazakhstan
Gabdolla Akishev
11 Kazhymukan str., Astana 100001, Kazakhstan;
125 Pushkin str., Almaty 050010, Kazakhstan
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Review
For citations:
Akishev G. On a function space with mixed generalized logarithmic smoothness. Mathematics and Theoretical Computer Science. 2024;2(2):4–29. (In Russ.) https://doi.org/10.26907/2949-3919.2024.2.4-29
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