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- W2088897033 abstract "We extend the results of Rubio de Francia and Bourgain by showing that, for arbitrary mutually disjoint intervals Δk ⊂ ℤ+, arbitrary p ∈, (0, 2], and arbitrary trigonometric polynomials f k with supp $$hat f_k subset Delta _k $$ , we have $$left| {sumlimits_k {f_k } } right|_{H^p (mathbb{T})} leqslant a_p left| {left( {sumlimits_k {left| {f_k } right|} ^2 } right)^{1/2} } right|_{L^p (mathbb{T})} $$ . The method is a development of that by Rubio de Francia. Bibliography: 9 titles." @default.
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- W2088897033 date "2006-11-01" @default.
- W2088897033 modified "2023-09-25" @default.
- W2088897033 title "On the Littlewood-Paley theorem for arbitrary intervals" @default.
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- W2088897033 doi "https://doi.org/10.1007/s10958-006-0359-4" @default.
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