Radial variation of Bloch functions on the unit ball of \(\mathbb{R}^d\)

DOI10.4310/ARKIV.2020.V58.N1.A10zbMath1442.30062arXiv1812.01513OpenAlexW3017418145MaRDI QIDQ2180948

Paul F. X. Müller, Katharina Riegler

Publication date: 18 May 2020

Published in: Arkiv för Matematik (Search for Journal in Brave)

Abstract: We provide variational estimates for Bloch functions on the unit ball of $mathbb{R}^d$ extending previous work on the Anderson conjecture for conformal maps on the unit disc.

Full work available at URL: https://arxiv.org/abs/1812.01513

zbMATH Keywords

radial variationBloch functions

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Bloch spaces (30H30)

Related Items (3)

\(B\)-points of a Cantor-type set ⋮ Unnamed Item ⋮ Weighted Hölder continuity of hyperbolic harmonic Bloch functions.

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