Academic Editor: Stanisława R. Kanas
Copyright © 2010 Oleksiy Dovgoshey and Juhani Riihentaus. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
After considering a variant of the generalized mean value inequality of quasinearly subharmonic
functions, we consider certain invariance properties of quasinearly subharmonic functions. Kojić has shown
that in the plane case both the class of quasinearly subharmonic functions and the class of regularly oscillating
functions are invariant under conformal mappings. We give partial generalizations to her results by showing that
in , , these both classes are invariant under bi-Lipschitz mappings.