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On majorants in the hardy-littlewood theorem for higher derivatives

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Abstract

We establish conditions for majorants under which the classical Hardy-Littlewood theorem for the class of functions analytic in a disk is true in terms of derivatives of arbitrary fixed order.

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Authors and Affiliations

  1. Volyn University, Lutsk

    V. I. Gorbaichuk & O. M. Piddubnyi

Authors
  1. V. I. Gorbaichuk
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  2. O. M. Piddubnyi
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1574–1576, November, 1995.

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Gorbaichuk, V.I., Piddubnyi, O.M. On majorants in the hardy-littlewood theorem for higher derivatives. Ukr Math J 47, 1798–1800 (1995). https://doi.org/10.1007/BF01057928

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  • DOI: https://doi.org/10.1007/BF01057928

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