Geodesic
Interpolation theorem for anisotropic net spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 3-15

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The paper studies the interpolation properties of anisotropic net spaces $N_{\bar{p},\bar{q}}(M)$, where $\bar{p}=(p_1, p_2)$, $\bar{q}=(q_1, q_2)$. It is shown that the following equality holds with respect to the multidimensional interpolation method $$ (N_{\bar{p}_0,\bar{q}_0}(M), N_{\bar{p}_1,\bar{q}_1}(M))_{\bar{\theta},\bar{q}}=N_{\bar{p},\bar{q}}(M), \frac{1}{\bar{p}}=\frac{1-\bar{\theta}}{\bar{p}_0}+\frac{\bar{\theta}}{\bar{p}_1}. $$
Keywords: net space, real interpolation method.
Mots-clés : anisotropic space 
@article{IVM_2021_8_a0,
     author = {A. N. Bashirova and A. K. Kalidolday and E. D. Nursultanov},
     title = {Interpolation theorem for anisotropic net spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {8},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_8_a0/}
}
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A. N. Bashirova; A. K. Kalidolday; E. D. Nursultanov. Interpolation theorem for anisotropic net spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2021_8_a0/