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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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