@article{ZhuGe2026, 
author = {RuiLan ZhuGe and Xinxin Zhao and Yan Wu},
title = {Taylor coefficients condition and mean growth of random series in        Q    K   spaces},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {21961-21972},
keywords = {random power series, lacunary series, QK space, Mean Lipschitz space, Carleson measure},
url = {https://www.sciopen.com/article/10.3934/math.2026887},
doi = {10.3934/math.2026887},
abstract = {Some properties for random power series    (      R    f  )  (  z  )  =      ∑          n      =      0        ∞        a    n        ϵ    n        z    n   in        Q    K   spaces and        Q          K      ,      0       spaces were studied in this paper. It was proved that if the condition        ∑          n      =      1        ∞    n      |        a    n              |        2    K  (      1    n    )  <  ∞ holds, then        R    f  ∈      Q    K   a.s. Furthermore, this condition actually implied that        R    f  ∈      Q          K      ,      0       a.s. As an application, the relationship between mean Lipschitz spaces and        Q    K   spaces was shown.}
}