FTIR spectra of six ozone isotopomers are studied in liquid O₂ solution at 77 K in the spectral range 650-3200 cm^-1. Full vibrational assignment is given and relative transition strengths are measured for many previously unobserved absorption bands of ¹⁸O-enriched species. Whenever such comparison is possible, most but not all of the relative strengths in solution are found to be in agreement with the rotationless transition moments in the gas phase. An order of magnitude enhancement observed for the hybrid-type ν₁ transitions in asymmetric ¹⁶O¹⁶O¹⁸O and ¹⁶O¹⁸O¹⁸O molecules is consistent with the calculated off-diagonal vibrational dipole matrix elements for the fundamental transitions in C_2v and C_S isotopomers. It is suggested that enhancement of transitions into the states with the even vibrational quantum number ν₃ may serve as a sensitive criterion for an interaction-induced asymmetric distortion of the O₃ potential energy surface by intermolecular interactions via terminal oxygen atoms.