Reciprocal lower bound on modulus of curve families in metric surfaces
Rajala, K., & Romney, M. (2019). Reciprocal lower bound on modulus of curve families in metric surfaces. Annales Academiae Scientiarum Fennicae-Mathematica, 44, 681-692. https://doi.org/10.5186/aasfm.2019.4442
Published inAnnales Academiae Scientiarum Fennicae-Mathematica
© the Authors & Suomalainen tiedeakatemia, 2019
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Related funder(s)Academy of Finland; European Commission
Funding program(s)Academy Project, AoF; Research post as Academy Research Fellow, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
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Rajala, Kai; Rasimus, Martti; Romney, Matthew (Springer, 2021)We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metric spaces X homeomorphic to R2R2. Given a measure μμ on such a space, we introduce μμ-quasiconformal maps f:X→R2f:X→R2, ...
Romney, Matthew (Academic Press, 2019)For all n ≥2, we construct a metric space (X, d)and a quasisymmetric mapping f:[0, 1]n→X with the property that f−1 is not absolutely continuous with respect to the Hausdorff n-measure on X. That is, there exists a Borel ...
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