We consider sets in the real line that have Littlewood-Paley properties LP(p) or LP and study the following question: How thick can these sets be?
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-4,
author = {Vladimir Lebedev},
title = {Thickness conditions and Littlewood-Paley sets},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {265-276},
zbl = {1295.43006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-4}
}
Vladimir Lebedev. Thickness conditions and Littlewood-Paley sets. Studia Mathematica, Tome 223 (2014) pp. 265-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-4/