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A remark on the constants of the Littlewood-Paley inequality
S. K. Pichorides
Source record
Source: Crossref
Published: Mar 1, 1992
DOI: 10.1090/s0002-9939-1992-1088445-6
Open original source ↗Source abstract
If f ∈ H p , p > 1 f \in {H^p},p > 1 , and γ \gamma denotes its Littlewood-Paley square function, then | | γ | | p ≤ B p | | f | | p ||\gamma |{|_p} \leq {B_p}||f|{|_p} with B p = 0 ( ( p − 1 ) − 1 ) , p → 1 + {B_p} = 0({(p - 1)^{ - 1}}),p \to {1^ + } .
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