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Brief communications

Estimates of a spectrum of the integral means for lacunary series

I. R. Kayumov^a, D. V. Maklakov^b, F. D. Kayumov<sup>a

a</sup> Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Chair of Aerohydromechanics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We obtain an upper estimate for the integral means spectrum of conformal mappings generated by lacunary power series with Hadamard gaps.

Keywords: conformal mappings, lacunary series, integral means spectrum.

UDC: 517.54

Received: 21.03.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:10, 67–72

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