Thickness conditions and Littlewood–Paley sets
Volume 220 / 2014
Studia Mathematica 220 (2014), 265-276
MSC: Primary 42A45; Secondary 43A46.
DOI: 10.4064/sm220-3-4
Abstract
We consider sets in the real line that have Littlewood–Paley properties $\mathrm {LP}(p)$ or $\mathrm {LP}$ and study the following question: How thick can these sets be?