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/