Frequently oscillating families related to subharmonic functions

Abstract

The goal of this note is to extend the result bounding from bellow the minimal possible growth of frequently oscillating subharmonic functions to a larger class of functions that carry similar properties. We refine and find further applications for the technique presented by Jones and Makarov in their celebrated paper, Density properties of harmonic measure.

arXiv commentarXiv admin note: text overlap with arXiv:2004.06148