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/