Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces

DOI10.1016/j.jmaa.2007.02.056zbMath1213.42060OpenAlexW2052237732MaRDI QIDQ2643997

Miroslav Pavlović, K. L. Avetisian, Olivera Djordjević

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.02.056

zbMATH Keywords

Hardy spaceharmonic functionBanach spaceLittlewood-Paley inequalityuniform \(p\)-convexityuniform \(p\)-smoothness

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Algebras of analytic functions of one complex variable (30H50)

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Cites Work

• On the uniform convexity of \(L^p\) and \(l^p\)
• The complex convexity of quasi-normed linear spaces
• A short proof of an inequality of Littlewood and Paley
• A New Proof of an Inequality of Littlewood and Paley
• On the moduli of convexity and smoothness
• COMPLEX CONVEXITY AND VECTOR-VALUED LITTLEWOOD–PALEY INEQUALITIES
• Bergman and Bloch spaces of vector‐valued functions
• On Weakly Compact Subsets of a Banach Space
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