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• W2344968246 abstract "Consider the discrete maximal function acting on finitely supported functions on the integers, [ mathcal{C}_Lambda f(n) := sup_{lambda in Lambda} | sum_{p in pm mathbb{P}} f(n-p) log |p| frac{e^{2pi i lambda p}}{p} |,] where $pm mathbb{P} := { pm p : p text{ is a prime} }$, and $Lambda subset [0,1]$. We give sufficient conditions on $Lambda$, met by (finite unions of) lacunary sets, for this to be a bounded sublinear operator on $ell^p(mathbb{Z})$ for $frac{3}{2} < p < 4$." @default.
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• W2344968246 date "2016-04-29" @default.
• W2344968246 modified "2023-10-09" @default.
• W2344968246 title "A Discrete Carleson Theorem Along the Primes with a Restricted Supremum" @default.
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