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A remark on the constants of the Littlewood-Paley inequality


Author: S. K. Pichorides
Journal: Proc. Amer. Math. Soc. 114 (1992), 787-789
MSC: Primary 42A50; Secondary 30D55
DOI: https://doi.org/10.1090/S0002-9939-1992-1088445-6
MathSciNet review: 1088445
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Abstract: If $ f \in {H^p},p > 1$, and $ \gamma $ denotes its Littlewood-Paley square function, then $ \vert\vert\gamma \vert{\vert _p} \leq {B_p}\vert\vert f\vert{\vert _p}$ with $ {B_p} = 0({(p - 1)^{ - 1}}),p \to {1^ + }$.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1088445-6
Article copyright: © Copyright 1992 American Mathematical Society

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