Oliver Roth

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20072023

most citedCritical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem

14 citations · 44 across the 24 of their papers we have counts for

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math.CA2021

A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights

Daniela Kraus, Annika Moucha, Oliver Roth

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 leads to an improved…

math.CA2008

A Note on Generating Functions for Hausdorff Moment Sequences

Oliver Roth, Luis Salinas, Stephan Ruscheweyh

For functions $f$ whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of $w (y) := ∣ f (γ + i y) ∣$ for $y > 0$ ( $γ \leq 1$ fixed).