Interpolation theorem for anisotropic net spaces
نویسندگان
چکیده
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 following equality holds with respect to multidimensional 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}.
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ژورنال
عنوان ژورنال: ???????? ?????? ??????? ?????????
سال: 2021
ISSN: ['0536-1036']
DOI: https://doi.org/10.26907/0021-3446-2021-8-3-15