On the integral means spectrum of univalent functions with quasconformal extensions

Abstract

In this note we show that the integral means spectrum of any univalent function admitting a quasiconformal extension to the extended complex plane is strictly less than the universal integral means spectrum. This gives an affirmative answer to a question raised in our recent paper.

The main results of this paper will be included in the preprint "Integral means spectrum functionals on Teichmuller spaces" arXiv:2405.07683