Search Results - "Kraus, Daniela"

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 by Kraus, Daniela, Roth, Oliver

“…Let E be a closed subset of the unit circle. We prove a sharp lower bound for the Poincaré metric λ C \ E ( z ) | d z | of the domain C \ E . This lower bound…”
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On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature by Kraus, Daniela, Roth, Oliver

“…The precise asymptotic behaviour of the solutions to the two-dimensional curvature equation Δ u = k ( z ) e 2 u with e 2 u ∈ L 1 for bounded nonnegative…”
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Critical sets of bounded analytic functions, zero sets of Bergman spaces and nonpositive curvature by Kraus, Daniela

“…A classical result due to Blaschke states that for every analytic self‐map f of the open unit disc of the complex plane there exists a Blaschke product B such…”
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A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps by Bracci, Filippo, Kraus, Daniela, Roth, Oliver

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Maximal Blaschke products by Kraus, Daniela, Roth, Oliver

“…We consider the classical problem of maximizing the derivative at a fixed point over the set of all bounded analytic functions in the unit disk with prescribed…”
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Strong submultiplicativity of the Poincaré metric by Kraus, Daniela, Roth, Oliver

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A sharp Bernstein–type inequality and application to the Carleson embedding theorem with matrix weights by Kraus, Daniela, Moucha, Annika, Roth, Oliver

“…We prove a sharp Bernstein-type inequality for complex polynomials which are positive and satisfy a polynomial growth condition on the positive real axis. This…”
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Correction to: A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights by Kraus, Daniela, Moucha, Annika, Roth, Oliver

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Blow-Up Solutions of Liouville’s Equation and Quasi-Normality by Grahl, Jürgen, Kraus, Daniela, Roth, Oliver

“…We prove that the family F C ( D ) of all meromorphic functions f on a domain D ⊆ C with the property that the spherical area of the image domain f ( D ) is…”
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Composition and Decomposition of Indestructible Blaschke Products by Kraus, Daniela, Roth, Oliver

“…We prove that the composition of two indestructible Blaschke products is again an indestructible Blaschke product. We also show that if an indestructible…”
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Hippocampal Subfields in Acute and Remitted Depression-an Ultra-High Field Magnetic Resonance Imaging Study by Kraus, Christoph, Seiger, Rene, Pfabigan, Daniela M, Sladky, Ronald, Tik, Martin, Paul, Katharina, Woletz, Michael, Gryglewski, Gregor, Vanicek, Thomas, Komorowski, Arkadiusz, Kasper, Siegfried, Lamm, Claus, Windischberger, Christian, Lanzenberger, Rupert

“…Studies investigating hippocampal volume changes after treatment with serotonergic antidepressants in patients with major depressive disorder yielded…”
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Critical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem by Kraus, Daniela, Roth, Oliver

“…We establish an extension of Liouville's classical representation theorem for solutions of the partial differential equation (PDE) Δ u=4 e2u and combine this…”
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Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky by Kraus, Daniela, Roth, Oliver, Sugawa, Toshiyuki

“…An explicit formula for the generalized hyperbolic metric on the thrice-punctured sphere with singularities of order α j ≤ 1 at z j is obtained in all possible…”
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Flights from modernity: German and australian utopian colonies in paraguay 1886-1896 by Williams, John F, Kraus, Daniela, Knowles, Harry

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On Beurling's boundary value problem in circle packing by Wegert, Elias, Roth, Oliver, Kraus, Daniela

“…We investigate a discrete counterpart of Beurling's boundary value problem for analytic functions in the framework of circle packing. In the case of discrete…”
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The strong form of the Ahlfors-Schwarz lemma at the boundary and a rigidity result for Liouville's equation by Bracci, Filippo, Kraus, Daniela, Roth, Oliver

“…We prove a boundary version of the strong form of the Ahlfors-Schwarz lemma with optimal error term. This result provides nonlinear extensions of the boundary…”
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Beurling’s free boundary value problem in conformal geometry by Bauer, Florian, Kraus, Daniela, Roth, Oliver, Wegert, Elias

“…The subject of this paper is Beurling’s celebrated extension of the Riemann mapping theorem [ 5 ]. Our point of departure is the observation that the only…”
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NEWSROOM INTEGRATION IN AUSTRIA, SPAIN AND GERMANY: Models of media convergence by García Avilés, José A., Meier, Klaus, Kaltenbrunner, Andy, Carvajal, Miguel, Kraus, Daniela

“…Convergence is reshaping the landscape of journalism in a variety of ways. This comparative study was targeted on integrated newsrooms, which combine at least…”
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A boundary version of Ahlfors’ Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps by Kraus, Daniela, Roth, Oliver, Ruscheweyh, Stephan

“…A boundary version of Ahlfors' Lemma is established and used to show that the classical Schwarz-Carathéodory reflection principle for holomorphic functions has…”
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Strict Wick-type deformation quantization on Riemann surfaces: Rigidity and Obstructions by Kraus, Daniela, Roth, Oliver, Schleissinger, Sebastian, Waldmann, Stefan

“…Let $X$ be a hyperbolic Riemann surface. We study a convergent Wick-type star product $\star_X$ on $X$ which is induced by the canonical convergent star…”
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