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Ukrainian Mathematical Journal

, Volume 70, Issue 7, pp 1115–1126 | Cite as

Estimation of Equimeasurable Rearrangements in the Anisotropic Case

  • R. V. Shanin
Article
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We study the classes of functions satisfying the reverse Hölder inequality on segments in the multidimensional case. For these classes, we obtain sharp estimates of the “norms” of equimeasurable rearrangements.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • R. V. Shanin
    • 1
  1. 1.Institute of Mathematics, Economics, and MechanicsMechnikov Odessa National UniversityOdessaUkraine

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