Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415005 | Journal of Functional Analysis | 2016 | 18 Pages |
Abstract
The aim of this paper is to exhibit a wide class of sparse deterministic sets, BâN, so thatlimsupNââNâ1|Bâ©[1,N]|=0, for which the Hardy-Littlewood majorant property holds:sup|an|â¤1â¡âânâBâ©[1,N]ane2ÏinξâLp(T,dξ)â¤CpâânâBâ©[1,N]e2ÏinξâLp(T,dξ), where pâ¥pB is sufficiently large, the implicit constant Cp is independent of N, and the supremum is taken over all complex sequences (an:nâN) such that |an|â¤1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ben Krause, Mariusz Mirek, Bartosz Trojan,