Weyl multipliers for unconditional convergence of series by a general Franklin system (Q5929627)

It is proved that the condition \(\sum^\infty_{n=1} {1\over n\omega(n)}< \infty\) is necessary and sufficient for a sequence \((\omega(n),n\in\mathbb{N})\), \(1\leq \omega(1)\leq \omega(2)\leq\cdots\), to be a Weyl multiplier for a.e. convergence of the series of a generalized Franklin system satisfying some regularity conditions.