Littlewood–Paley type inequality on ℝ
✍
Tong Seng Quek
📂
Article
📅
2003
🏛
John Wiley and Sons
🌐
English
⚖ 152 KB
## 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