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Some light on Littlewood–Paley theory

✍ Scribed by Michael Cowling; Terence Tao

Publisher
Springer
Year
2001
Tongue
English
Weight
52 KB
Volume
321
Category
Article
ISSN
0025-5831

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## Abstract Let {__I__~__k__~}~__k__∈ℕ~ be a sequence of well–distributed mutually disjoint intervals of ℝ\{0}. For __f__ ∈ __L__^__p__^(ℝ), 1 ≤ __p__ ≤ 2, define __S____f__ by (__S____f__)ˆ = χ$\hat f $. We prove that there exists a positive constant __C__ such that for all __f__ ∈ __L__^__p__^(ℝ