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Estimates of Partial Moduli of Smoothness in Metrics of Lp1∞ and L∞p2 through Partial Moduli of Smoothness in Metrics of Lp1p2

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Abstract

Interrelation between partial moduli of smoothness of positive order considered in metrics and Lp1∞, L∞p2, and Lp1p2 is studied.

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References

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Acknowledgments

The work was supported by the Russian Foundation for Basic Research (project no. 19-01-00457).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    M. K. Potapov

  2. Volgograd State Technical University, 28 Lenin av., Volgograd, 400005, Russia

    B. V. Simonov

Authors
  1. M. K. Potapov
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  2. B. V. Simonov
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Corresponding authors

Correspondence to M. K. Potapov or B. V. Simonov.

Additional information

Russian Text © The Author(s). 2020. published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika. 2020. Vol. 75. No. 1, pp. 3–17.

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Potapov, M.K., Simonov, B.V. Estimates of Partial Moduli of Smoothness in Metrics of Lp1∞ and L∞p2 through Partial Moduli of Smoothness in Metrics of Lp1p2. Moscow Univ. Math. Bull. 75, 1–15 (2020). https://doi.org/10.3103/S0027132220010015

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  • DOI: https://doi.org/10.3103/S0027132220010015

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