Estimates of a spectrum of the integral means for lacunary series

Estimates of a spectrum of the integral means for lacunary series

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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Veröffentlicht in:Russian mathematics 2014-10, Vol.58 (10), p.67-72
Hauptverfasser: Kayumov, I. R., Maklakov, D. V., Kayumov, F. D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X14100090