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math.CV2020
Extreme values of the derivative of Blaschke products and hypergeometric polynomials
Leonid V. Kovalev, Xuerui Yang
A finite Blaschke product, restricted to the unit circle, is a smooth covering map. The maximum and minimum values of the derivative of this map reflect the geometry of the Blaschk…
math.CV2020★ 1 cited
Circle embeddings with restrictions on Fourier coefficients
Liulan Li, Leonid V. Kovalev
This paper continues the investigation of the relation between the geometry of a circle embedding and the values of its Fourier coefficients. First, we answer a question of Kovalev…
math.CV2020★ 5 cited
Near-isometric duality of Hardy norms with applications to harmonic mappings
Leonid V. Kovalev, Xuerui Yang
Hardy spaces in the complex plane and in higher dimensions have natural finite-dimensional subspaces formed by polynomials or by linear maps. We use the restriction of Hardy norms…