Abstract
The aim of this paper is to exhibit a wide class of sparse deterministic sets, B⊆N, so thatlimsupN→∞N−1|B∩[1,N]|=0, for which the Hardy–Littlewood majorant property holds:sup|an|≤1‖∑n∈B∩[1,N]ane2πinξ‖Lp(T,dξ)≤Cp‖∑n∈B∩[1,N]e2πinξ‖Lp(T,dξ), where p≥pB is sufficiently large, the implicit constant Cp is independent of N, and the supremum is taken over all complex sequences (an:n∈N) such that |an|≤1.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
