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Interpolation Theorem for Anisotropic Net Spaces

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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.

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Funding

The work was supported by Ministry of Education of Kazakhstan Republic (grants nos. AP08053326, AP09260223).

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Authors and Affiliations

  1. L.N. Gumilyov Eurasian National University, 13 Kazhymukan Munaitpasov str., Z01C0X0, Nur-Sultan, Kazakhstan

    A. N. Bashirova & A. H. Kalidolday

  2. Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., A26G7T4, Almaty, Kazakhstan

    A. N. Bashirova

  3. M.V. Lomonosov Moscow State University, Kazakhstan Branch, 11 Kazhymukan Munaitpasov str., Z01C0T6, Nur-Sultan, Kazakhstan

    E. D. Nursultanov

Authors
  1. A. N. Bashirova
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  2. A. H. Kalidolday
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  3. E. D. Nursultanov
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Corresponding authors

Correspondence to A. N. Bashirova, A. H. Kalidolday or E. D. Nursultanov.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 8, pp. 3–15.

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Bashirova, A.N., Kalidolday, A.H. & Nursultanov, E.D. Interpolation Theorem for Anisotropic Net Spaces. Russ Math. 65, 1–12 (2021). https://doi.org/10.3103/S1066369X21080016

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  • DOI: https://doi.org/10.3103/S1066369X21080016

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