The embedding theorems for anisotropic Nikol’skii-Besov spaces with generalized mixed smoothness
Жалпыланған аралас тегiстiлiгi бар Никольский-Бесовтың анизотропты кеңiстiктерi үшiн енгiзу теоремалары
Теоремы вложения для анизотропных пространств Никольского–Бесова с обобщенной смешанной гладкостью
Bekmaganbetov K.A. Kervenev K.Y. Toleugazy Y.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#104Issue 428 - 34 pp.
The theory of embedding of spaces of differentiable functions studies the important relations of differential (smoothness) properties of functions in various metrics and has a wide application in the theory of boundary value problems of mathematical physics, approximation theory, and other fields of mathematics. In this article, we prove the embedding theorems for anisotropic spaces Nikol’skii-Besov with a generalized mixed smoothness and mixed metric, and anisotropic Lorentz spaces. The proofs of the obtained results are based on the inequality of different metrics for trigonometric polynomials in Lebesgue spaces with mixed metrics and interpolation properties of the corresponding spaces.
anisotropic Lorentz spaces , anisotropic Nikol’skii-Besov spaces , embedding theorems , generalized mixed smoothness , mixed metric
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M.V. Lomonosov Moscow State University, Kazakhstan Branch, Nur-Sultan, Kazakhstan
Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
M.V. Lomonosov Moscow State University
Karagandy University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026