Search Results - "Moucha, Annika"

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…”
Get full text

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

Get full text

Spectral synthesis of the invariant Laplacian and complexified spherical harmonics by Moucha, Annika

“…We show that the space $\mathcal{H}(\Omega)$ of holomorphic functions $F:\Omega\to\mathbb{C}$, where ${\Omega=\{(z,w)\in\widehat{\mathbb{C}}^2\,:\, z\cdot…”
Get full text

Spectral theory of the invariant Laplacian on the disk and the sphere -- a complex analysis approach by Moucha, Annika, Roth, Oliver, Heins, Michael

“…The central theme of this paper is the holomorphic spectral theory of the canonical Laplace operator of the complement $\Omega := \{(z,w) \in…”
Get full text

Function Theory off the complexified unit circle: Fr\'echet space structure and automorphisms by Heins, Michael, Moucha, Annika, Roth, Oliver

“…Annales Fennici Mathematici 49(1), (2024), 257-280 Motivated by recent work on strict deformation quantization of the unit disk and the Riemann sphere, we…”
Get full text

Hyperbolic distortion and conformality at the boundary by Gumenyuk, Pavel, Kourou, Maria, Moucha, Annika, Roth, Oliver

“…We characterize two classical types of conformality of a holomorphic self-map of the unit disk at a boundary point - existence of a finite angular derivative…”
Get full text

Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond by Heins, Michael, Moucha, Annika, Roth, Oliver, Sugawa, Toshiyuki

“…We introduce and study invariant differential operators acting on the space $\mathcal{H}(\Omega)$ of holomorphic functions on the complement ${\Omega=\{(z,w)…”
Get full text

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…”
Get full text