Semicontinuity under Convergence of Homeomorphisms in \( L_{1,\operatorname{loc}} \) of the Operator Distortion Function

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