Growth problems for subharmonic functions of finite order in space

Abstract

Abstract.For a function u(x) subharmonic (or C2) in Rm, we compare the "harmonics" (defined in §1) of u with those of a related subharmonic function whose total Riesz mass in | jc| < r is the same as that of u, but whose Û norm on |jc| = r is maximal, for all 0 < r < oo. We deduce estimates on the growth of the Riesz mass of u in \x\ < r, as r -» oo.

The star function for meromorphic functions of several complex variables

“…The problems and techniques above have been considered and extended for subharmonic functions in R n by many authors (see for instance [5,13,14,10]). In particular, A. Baernstein and B.…”