Growth of entire A-subharmonic functions

Abstract

We prove an estimate of the growth of a nonnegative A -subharmonic function in R n in terms of the Wolfi potential of its Riesz measure. Our estimate can be viewed as a counterpart to Nevanlinna's flrst fundamental theorem for subharmonic functions in the nonlinear setting. As a consequence, we prove that a nonnegative A -subharmonic function has the same order as the Wolfi potential of its Riesz measure.