A+ CATEGORY SCIENTIFIC UNIT

Thickness conditions and Littlewood–Paley sets

Volume 220 / 2014

Vladimir Lebedev 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?

Authors

  • Vladimir LebedevNational Research University Higher School of Economics
    3 Bolshoi Trekhsvyatitelskii per.
    Moscow 109028, Russia
    e-mail

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