The Schwarz-Pick lemma for slice regular functions

DOI10.1512/iumj.2012.61.5076zbMath1271.30024arXiv1209.2060OpenAlexW2076926543WikidataQ124805690 ScholiaQ124805690MaRDI QIDQ4918591

Cinzia Bisi, Caterina Stoppato

Publication date: 25 April 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2060

zbMATH Keywords

Schwarz-Pick lemmaslice regular functionsCartan's rigidity theoremquaternionic Moebius transformations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (18)

Univalence results for slice regular functions of a quaternion variable ⋮ On some geometric properties of slice regular functions of a quaternion variable ⋮ Some characterizations of slice regular Lipschitz type spaces ⋮ A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces ⋮ Some Notions of Subharmonicity over the Quaternions ⋮ Slice starlike functions over quaternions ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Pick matricies and quaternionic power series ⋮ Bohr theorems for slice regular functions over octonions ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball ⋮ A Landau's theorem in several complex variables ⋮ The harmonicity of slice regular functions ⋮ Julia theory for slice regular functions ⋮ Slice-quaternionic Hopf surfaces ⋮ On Runge pairs and topology of axially symmetric domains ⋮ Some properties of the slice regular Schwarzians

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