On the integral means spectrum of univalent functions with quasconformal extensions
Complex Variables
2024-08-23 v4
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.
Cite
@article{arxiv.2407.19240,
title = {On the integral means spectrum of univalent functions with quasconformal extensions},
author = {Jianjun Jin},
journal= {arXiv preprint arXiv:2407.19240},
year = {2024}
}
Comments
The main results of this paper will be included in the preprint "Integral means spectrum functionals on Teichmuller spaces" arXiv:2405.07683