Quasidisks and twisting of the Riemann map
Complex Variables
2020-06-09 v2
Abstract
Consider a conformal map from the unit disk onto a quasidisk. We determine a range of critical complex powers with respect to which the derivative is integrable. The results fit into the picture predicted by a circular analogue of Brennan's conjecture.
Keywords
Cite
@article{arxiv.1611.06734,
title = {Quasidisks and twisting of the Riemann map},
author = {István Prause},
journal= {arXiv preprint arXiv:1611.06734},
year = {2020}
}
Comments
18 pages, 1 figure