Semicontinuity under convergence of homeomorphisms in $L_{1, \mathrm{loc}}$ of the operator distortion function

Studying the convergence in $L_{1, \mathrm{loc}}$ of homeomorphisms of class ${\mathcal Q}_{q,p}$ to some limit mapping, under additional assumptions, we prove that the norm of the operator distortion function is lower semicontinuous. We estimate the operator distortion function for $q < p$.