Abstract
The paper establishes a necessary and sufficient condition under which a lacunary series belong to a mixed norm space of functions holomorphic in the unit disc. As a corollary, some sharp pointwise estimates are obtained for lacunary series.
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Original Russian Text © K.L.Avetisyan, 2010, published in Izvestiya NAN Armenii. Matematika, 2010, No. 5, pp. 9–18.
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Avetisyan, K.L. Lacunary series in mixed norm spaces in the disc. J. Contemp. Mathemat. Anal. 45, 258–265 (2010). https://doi.org/10.3103/S106836231005002X
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DOI: https://doi.org/10.3103/S106836231005002X