各向异性网空间的内插定理
Interpolation theorem for anisotropic net spaces
摘要：
研究了各向异性网空间$N_{\bar{p},\bar{q}}(M)$的插值性质，其中$\bar{p}=(p_1, p_2)$，$\bar{q}=(q_1, q_2)$ .证明了对于多维插值方法$$ (N_{\bar{p}_0,\bar{q}_0}(M), N_{\bar{p}_1,\bar{q}_1}(M))_{\barθ,\bar{q}}=N_{\bar{p},\bar{q}}(M),\;\;\; \frac{1}{\bar{p}}=\frac{1-\barθ}{\bar{p}_0}+\frac{\barθ}{\bar{p}_1}. $$，下列等式成立
英文摘要：
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 $$ (N_{\bar{p}_0,\bar{q}_0}(M), N_{\bar{p}_1,\bar{q}_1}(M))_{\barθ,\bar{q}}=N_{\bar{p},\bar{q}}(M),\;\;\; \frac{1}{\bar{p}}=\frac{1-\barθ}{\bar{p}_0}+\frac{\barθ}{\bar{p}_1}. $$
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