Under mild conditions on the weight function K we characterize lacunary series in the so-called spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm178-3-2,
author = {Hasi Wulan and Kehe Zhu},
title = {Lacunary series in $Q\_{K}$ spaces},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {217-230},
zbl = {1122.30032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm178-3-2}
}
Hasi Wulan; Kehe Zhu. Lacunary series in $Q_{K}$ spaces. Studia Mathematica, Tome 178 (2007) pp. 217-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm178-3-2/