Metric Space Mappings Connected with Sobolev-Type Function Classes

We study some properties of the metric space mappings connected with the Sobolev-type function classes \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ M^{1}_{p}(X,d,\mu) $\end{document}.