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arXiv · 1611.06734

Quasidisks and twisting of the Riemann map

István Prause
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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.

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István Prause. 2017-10-31. Quasidisks and twisting of the Riemann map. https://doi.org/10.1093/imrn%2Frnx173

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