NIKOL’SKII-BESOV SPACES WITH A DOMINANT MIXED DERIVATIVE AND WITH A MIXED METRIC: INTERPOLATION PROPERTIES, EMBEDDING THEOREMS, TRACE AND EXTENSION THEOREMS
Bekmaganbetov K.A. Kervenev K.Ye. Nursultanov E.D.
January 2025L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2025#16Issue 230 - 41 pp.
In this work, we define Nikol’skii-Besov spaces with a dominant mixed derivative and with a mixed metric. The interpolation properties of these spaces with respect to the anisotropic interpolation method are studied, sharp embedding theorems of different metrics are proved, and sharp trace and extension theorems are proved.
anisotropic Lorentz spaces , dominant mixed derivative , embedding theorems , extension theorems , interpolation of spaces , mixed metric , Nikol’skii-Besov spaces , trace theorems
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Department of Fundamental and Applied Mathematics, M.V.Lomonosov Moscow State University (Kazakhstan branch), 11 Kazhimukan St, Astana, 010010, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, Almaty, 050010, Kazakhstan
Department of Methods of Teaching Mathematics and Computer Science, E.A. Buketov Karaganda University, 28 University St, Karaganda, 100024, Kazakhstan
Department of Fundamental and Applied Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Methods of Teaching Mathematics and Computer Science
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