3 Ba(ClO3)2 + 6 H2SO4 → 3 Ba(HSO4)2 + 2 HClO4 + 4 ClO2 + 2 H2O
This is an oxidation-reduction (redox) reaction:
2 ClV - 4 e- → 2 ClVII (oxidation)
4 ClV + 4 e- → 4 ClIV (reduction)
Ba(ClO3)2 is both an oxidizing and a reducing agent (disproportionation (dismutation)).