  We report a measurement of the cross section for $K^0_S$ pair production in
single-tag two-photon collisions, $\gamma^* \gamma \to K^0_S K^0_S$, for $Q^2$
up to 30 GeV$^2$, where $Q^2$ is the negative of the invariant mass squared of
the tagged photon. The measurement covers the kinematic range 1.0 GeV < W < 2.6
GeV and $|\cos \theta^*| < 1.0$ for the total energy and kaon scattering angle,
respectively, in the $\gamma^* \gamma$ center-of-mass system. These results are
based on a data sample of 759 fb$^{-1}$ collected with the Belle detector at
the KEKB asymmetric-energy $e^+ e^-$ collider. For the first time, the
transition form factor of the $f_2'(1525)$ meson is measured separately for the
helicity-0, -1, and -2 components and also compared with theoretical
calculations. Finally, the partial decay widths of the $\chi_{c0}$ and
$\chi_{c2}$ mesons are measured as a function of $Q^2$.
