Publications

Selected Publications

• Filippo Bracci, Daniela Kraus and Oliver Roth
  A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps,
  Adv. Math.  to appear see arXiv:2003.02019

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• Filippo Bracci and Oliver Roth
  Semigroup-fication of univalent self-maps of the unit disc,
  Ann. Inst. Fourier  73 no. 1,  251-277, 2023, Link
  see arXiv:2002.08252

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• Daniela Kraus, Annika Moucha and Oliver Roth
  A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights
  Anal. Math. Phys., 12 no. 2, Paper No. 46, 2022, Open Access doi.org/10.1007/s13324-021-00639-5
  see arXiv:2110.10730

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• Michael Heins, Oliver Roth and Stefan Waldmann
  Convergent Star Products on Cotangent Bundles of Lie Groups,
  Math. Ann.  386 no. 1-2, 151-206, 2023,  doi.org/10.1007/s00208-022-02384-x
  see arXiv:2107.14624

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• Oliver Roth and Pavel Gumenyuk
  On the squeezing function for finitely connected planar domains,
  Math. Ann.  384 no. 1-2, 551-574, 2022, doi.org/10.1007/s00208-021-02296-2
  see arXiv:2011.13734

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• Richard Fournier, Daniela Kraus and Oliver Roth
  A Schwarz lemma for locally univalent meromorphic functions,
  Proc. Amer. Math. Soc., 148 no. 9, 3859-3870, 2020. (arXiv:1902.07242)

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• Daniela Kraus, Oliver Roth, Matthias Schötz and Stefan Waldmann
  A convergent star product on the Poincaré disc,
   J. Funct. Anal., 277 no. 8, 2734-2771, 2019. 

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• Jürgen Grahl, Shahar Nevo
  Quasi-normality induced by differential inequalities
  Bull. Lond. Math. Soc. 50, 73-84, 2018

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• Oliver Roth, Sebastian Schleißinger
  The Schramm-Loewner equation for multiple slits
  J. d'Analyse Math.131,73-99, 2017

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• Daniela Kraus, Oliver Roth
  Sharp lower bounds for the hyperbolic metric of the complement of a closed subset of the unit circle and theorems of Schwarz-Pick-, Schottky- and Landau-type for analytic functions
  Constr. Approx. 43, 47-69, 2016

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• Oliver Roth
  Pontryagin's maximum principle for the Loewner equation in higher dimensions
  Canad. J. Math. 67 (4), 942-960, 2015

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• Daniela Kraus, Oliver Roth
  Maximal Blaschke products
  Adv. Math. 241, 58-78, 2013

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• Daniela Kraus
  Critical sets of bounded analytic functions, zero sets of Bergman spaces and nonpositive curvature
  Proc. London Math. Soc. 106 No. 4, 931-956, 2013

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• Daniela Kraus, Oliver Roth, Stephan Ruscheweyh
  A boundary version of Ahlfors' Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps
  J. d'Analyse Math. 101, 219-256, 2007

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• Oliver Roth
  A general conformal geometric reflection principle,
  Trans. Amer. Math. Soc. 359 No. 6, 2501-2529, 2007