Lacunary series and sharp estimates in weighted spaces of holomorphic functions

DOI10.3103/S1068362307020021zbMath1155.30017OpenAlexW2099037586MaRDI QIDQ944109

K. L. Avetisian

Publication date: 12 September 2008

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362307020021

zbMATH Keywords

Paley inequalitylacunary seriesHadamard operatorBloch and Hardy spaces

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Normal functions of one complex variable, normal families (30D45)

Related Items

Lacunary series in mixed norm spaces in the disc

Cites Work

• Radial growth of the derivative of univalent functions
• Spaces of analytic functions of Hardy-Bloch type
• Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• On the Distortion of Boundary Sets Under Conformal Mappings
• Inequalities for the p th Mean Values of Harmonic and Subharmonic Functions with p ⩽ 1
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