Integrability of vector-valued lacunary series with applications to function spaces

DOI10.1007/s10231-011-0244-8zbMath1291.30013OpenAlexW2090785849MaRDI QIDQ380388

Miroslav Pavlović

Publication date: 13 November 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0244-8

zbMATH Keywords

lacunary seriesquasinormharmonic Bergman spaces

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Spaces with normal weights and Hadamard gap series
• Orlicz spaces and modular spaces
• The blocking technique, weighted mean operators and Hardy's inequality
• Harmonic Function Theory
• L p -Behavior of Power Series with Positive Coefficients and Hardy Spaces
• On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc
• On generalized Bergman spaces
• Lacunary series in mixed norm spaces on the ball and the polydisk
• Lacunary power sequences in the spaces 𝐶 and 𝐿_{𝑝}
• On Certain Integrals

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