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Interpolation Theorem for Anisotropic Net Spaces

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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 scale of spaces $N_{\bar{p},\bar{q}}(M)$ is closed… Click to show full abstract

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 scale of spaces $N_{\bar{p},\bar{q}}(M)$ is closed with respect to the Fernandez multidimensional interpolation method.

Keywords: anisotropic net; interpolation theorem; bar; net spaces; interpolation; bar bar

Journal Title: Russian Mathematics
Year Published: 2021

Link to full text (if available)


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