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Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag–Leffler Kernels

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Abstract

For weighted \(L^{p}\)-classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type \(|w|^{2\varphi}\cdot(1-|w|^{2\rho})^{\beta}\) and with reproducing Mittag–Leffler kernels are obtained.

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Authors and Affiliations

  1. Insitute of Mathematics, National Academy of Sciences of the Republich of Armenia, Yerevan, Armenia

    F. V. Hayrapetyan

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  1. F. V. Hayrapetyan
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Correspondence to F. V. Hayrapetyan.

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Translated by E. Oborin

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Hayrapetyan, F.V. Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag–Leffler Kernels. J. Contemp. Mathemat. Anal. 55, 224–234 (2020). https://doi.org/10.3103/S1068362320040032

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  • DOI: https://doi.org/10.3103/S1068362320040032

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