Existence of Quasiconformal Maps with Maximal Stretching on Any Given Countable Set

Author:

Bongers Tyler,Gill James T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference7 articles.

1. Ahlfors, L.V.: Lectures on quasiconformal mappings, volume 38 of University Lecture Series. American Mathematical Society, Providence, RI, second edition, 2006. With supplemental chapters by C. J. Earle, I. Kra, M. Shishikura and J. H. Hubbard (2006)

2. Astala, K., Iwaniec, T., Martin, G.: Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane. Princeton Mathematical Series, vol. 48. Princeton University Press, Princeton (2009)

3. Astala, K., Iwaniec, T., Prause, I., Saksman, E.: Bilipschitz and quasiconformal rotation, stretching and multifractal spectra. Publ. Math. Inst. Hautes Études Sci. 121, 113–154 (2015)

4. Bongers, T.: Stretching and rotation sets of quasiconformal mappings. Ann. Acad. Sci. Fenn. Math. 44(1), 103–123 (2019)

5. Clop, A., Hitruhin, L., Sengupta, B.: Rotation bounds for Hölder continuous homeomorphisms with integrable distortion. arXiv:2102.08636 (2021)

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