The theorems about traces and extensions for functions from Nikol’skii-Besov spaces with generalized mixed smoothness
Bekmaganbetov K.A. Kervenev K.Ye. Toleugazy Ye.
2022E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2022#108Issue 442 - 50 pp.
The theory of embedding of spaces of differentiable functions studies important relations of differential (smoothness) properties of functions in various metrics and has 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 theorems about traces and extensions for functions from Nikol’skii-Besov spaces with generalized mixed smoothness and mixed metrics. The proofs of the obtained results is based on the inequality of different dimensions for trigonometric polynomials in Lebesgue spaces with mixed metrics and the embedding theorem of classical Nikol’skii-Besov spaces in the space of continuous functions.
a trace of function , an extension of function , generalized mixed smoothness , mixed metrics , Nikol’skii-Besov spaces
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M.V. Lomonosov Moscow State University, Kazakhstan Branch, Astana, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
M.V. Lomonosov Moscow State University
Institute of Mathematics and Mathematical Modeling
Karagandy University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
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