Using our version of a mean value type inequality for quasinearly subharmonic functions, presented in the previous section, we
give domination conditions for families of quasinearly subharmonic
functions. Our results improve previous results of Domar, Rippon and
ours, and thus also the original results of Sjöberg and Brelot.
Keywords: Subharmonic, quasinearly subharmonic, family of quasinearly subharmonic functions, domination conditions