Pullback of a quasiconformal map between arbitrary metric measure spaces-Reference-Cited by-同舟云学术

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Pullback of a quasiconformal map between arbitrary metric measure spaces

Published:2024-04-01 Issue:1 Volume:68 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Ikonen Toni¹,Lučić Danka²,Pasqualetto Enrico³

Affiliation:

1. University of Jyvaskyla, Department of Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014 University of Jyvaskyla, Finland

2. Università di Pisa, Dipartimento di Matematica, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

3. Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126 Pisa, Italy

Publisher

Duke University Press

Reference25 articles.

1. J. Cheeger, Differentiability of Lipschitz functions on metric measure spaces, Geom. Funct. Anal. 9 (1999), no. 3, 428–517.

2. J. Heinonen and P. Koskela, Quasiconformal maps in metric spaces with controlled geometry, Acta Math. 181 (1998), no. 1, 1–61.

3. L. Ambrosio, M. Colombo, and S. Di Marino, “Sobolev spaces in metric measure spaces: Reflexivity and lower semicontinuity of slope” in Variational Methods for Evolving Objects, Adv. Stud. Pure Math. 67, Math. Soc. Japan [Tokyo], 2015, 1–58.

4. L. Ambrosio, N. Gigli, and G. Savaré, Gradient Flows in Metric Spaces and in the Space of Probability Measures, 2nd ed. Lect. Math. ETH Zürich, Birkhäuser Verlag, Basel, 2008.

5. K. Astala, T. Iwaniec, and G. Martin, Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, Princeton Math. Ser. 48, Princeton Univ. Press, Princeton, NJ, 2009.

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