Norm convergence of partial sums of H1 functions

DOI10.1142/S0129167X18500659zbMath1408.30046arXiv1803.10822OpenAlexW2963339821WikidataQ129488701 ScholiaQ129488701MaRDI QIDQ4962340

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Publication date: 2 November 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10822

zbMATH Keywords

Hardy spaceBergman spaceTaylor approximation

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Power series, series of functions of several complex variables (32A05) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Sharp Cesàro convergence in the Hardy spaces revisited ⋮ Laurent series of holomorphic functions smooth up to the boundary ⋮ Norm approximation by Taylor polynomials in Hardy and Bergman spaces

Cites Work

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• The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
• Composition Semigroups and the Cesàro Operator OnH ^p
• Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
• H ^p theory for the poly-disc
• Spaces of Holomorphic Functions in the Unit Ball
• An Integral Operator on H^p
• The Cesaro Operator is Bounded on H 1
• Hausdorff matrices and composition operators

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