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On a boundary properties of functions from a class Hp(p ≥ 1)

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Abstract

In this paper, the structural properties of a function are characterized by moduli of continuity. The classical Hardy–Littlewood theorem describes a relation between the smoothness of the analytic function boundary values at the boundary of its analyticity and the growth rate of the modulus of its higher-order derivatives. An analogue of the Hardy–Littlewood theorem has been obtained for functions from the class Hp and higher-order moduli of continuity.

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Authors and Affiliations

  1. Lesya Ukrainka Eastern European National University, Lutsk, Ukraine

    Ulyna Hrabova & Roman Tovkach

Authors
  1. Ulyna Hrabova
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  2. Roman Tovkach
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Correspondence to Ulyna Hrabova.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 2, pp. 167–175, April–June, 2022.

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Hrabova, U., Tovkach, R. On a boundary properties of functions from a class Hp(p ≥ 1). J Math Sci 264, 389–395 (2022). https://doi.org/10.1007/s10958-022-06006-4

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  • DOI: https://doi.org/10.1007/s10958-022-06006-4

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