On Weyl Multipliers for Unconditional Convergence of Series in Ciesielski Systems

We prove that a nondecreasing sequence of positive numbers $$\omega_n$$ is a Weyl multiplier for the almost everywhere unconditional convergence of series in Ciesielski systems if and only if the inequality $$\sum_{n=1}^{\infty}(n\omega_n)^{-1}<\infty$$ holds.