Some characterizations of slice regular Lipschitz type spaces
Jos\'e Oscar Gonz\'alez-Cervantes, Daniel Gonz\'alez-Campos, Juan, Bory-Reyes
TL;DR
This paper characterizes Lipschitz type spaces of slice regular quaternionic functions within the unit ball, focusing on their modulus of continuity, and provides new insights into their structure.
Contribution
It introduces novel characterizations of Lipschitz spaces for slice regular functions in quaternions, expanding understanding of their regularity properties.
Findings
New characterizations of Lipschitz spaces for slice regular functions
Insights into the modulus of continuity for quaternionic functions
Enhanced understanding of regularity in quaternionic analysis
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.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory