Transverse Asymmetry in Hadron Leptoproduction at Small x

We consider double spin asymmetries for longitudinally polarized leptons and transversally polarized protons in diffractive vector meson and $Q\bar{Q}$ production for the HERMES energy range on the basis of the two-gluon model. The asymmetry predicted for meson production is quite small. Large asymmetry is expected for $Q\bar{Q}$ production.