Some characterizations of slice regular Lipschitz type spaces

José Oscar González-Cervantes; Daniel González-Campos; Juan Bory-Reyes

doi:10.1007/s13324-022-00712-7

Some characterizations of slice regular Lipschitz type spaces

José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes

Research output: Contribution to journal › Article › peer-review

Abstract

We give some characterizations of Lipschitz type spaces of slice regular functions in the unit ball of the skew field of quaternions with prescribed modulus of continuity.

Original language	English
Article number	106
Journal	Analysis and Mathematical Physics
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s13324-022-00712-7
State	Published - Aug 2022

Keywords

Equivalent norms
Lipschitz type spaces
Quaternionic slice regular functions
Schwarz-Pick lemma

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title = "Some characterizations of slice regular Lipschitz type spaces",

abstract = "We give some characterizations of Lipschitz type spaces of slice regular functions in the unit ball of the skew field of quaternions with prescribed modulus of continuity.",

keywords = "Equivalent norms, Lipschitz type spaces, Quaternionic slice regular functions, Schwarz-Pick lemma",

author = "Gonz{\'a}lez-Cervantes, {Jos{\'e} Oscar} and Daniel Gonz{\'a}lez-Campos and Juan Bory-Reyes",

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AU - Bory-Reyes, Juan

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AB - We give some characterizations of Lipschitz type spaces of slice regular functions in the unit ball of the skew field of quaternions with prescribed modulus of continuity.

KW - Equivalent norms

KW - Lipschitz type spaces

KW - Quaternionic slice regular functions

KW - Schwarz-Pick lemma

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Some characterizations of slice regular Lipschitz type spaces

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Keywords

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