Interpolation Theorem for Anisotropic Net Spaces
Bashirova A.N. Kalidolday A.H. Nursultanov E.D.
August 2021Pleiades journals
Russian Mathematics
2021#65Issue 8
The paper studies the interpolation properties of anisotropic net spaces $N_{ar{p},ar{q}}(M)$, where $ar{p}=(p_1, p_2)$, $ar{q}=(q_1, q_2)$. It is shown that the scale of spaces $N_{ar{p},ar{q}}(M)$ is closed with respect to the Fernandez multidimensional interpolation method.
anisotropic space , net space , real interpolation method
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L.N. Gumilyov Eurasian National University, 13 Kazhymukan Munaitpasov str., Nur-Sultan, Z01C0X0, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, A26G7T4, Kazakhstan
M.V. Lomonosov Moscow State University, Kazakhstan Branch, 11 Kazhymukan Munaitpasov str., Nur-Sultan, Z01C0T6, Kazakhstan
L.N. Gumilyov Eurasian National University
Institute of Mathematics and Mathematical Modeling
M.V. Lomonosov Moscow State University
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