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Estimates of a spectrum of the integral means for lacunary series

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Abstract

We obtain an upper estimate for the integral means spectrum of conformal mappings generated by the Hadamard lacunary power series with a lacunarity index 2.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    I. R. Kayumov, D. V. Maklakov & F. D. Kayumov

Authors
  1. I. R. Kayumov
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  2. D. V. Maklakov
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  3. F. D. Kayumov
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Correspondence to I. R. Kayumov.

Additional information

Original Russian Text © I.R. Kayumov, D.V. Maklakov, F.D. Kayumov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 10, pp. 79–85.

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Kayumov, I.R., Maklakov, D.V. & Kayumov, F.D. Estimates of a spectrum of the integral means for lacunary series. Russ Math. 58, 67–72 (2014). https://doi.org/10.3103/S1066369X14100090

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  • DOI: https://doi.org/10.3103/S1066369X14100090

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