In this paper, we prove the following: let be a continuous function with and increasing in . Then there exists a series of the form
with the following property: for each a weight function , , can be constructed so that the series is universal in the weighted space both with respect to rearrangements and subseries.
"On the existence of universal series by the generalized Walsh system." Banach J. Math. Anal. 10 (2) 415 - 429, April 2016. https://doi.org/10.1215/17358787-3589331