Abstract
In this paper we develop the necessary tools to generalize the function spaces \(F(p,q,s)\) and \(F_0(p,q,s)\) introduced by Zhao in (Zhao, Ann Acad Sci Fenn Math Diss No 105, 1996) to the case of the monogenic functions defined in the unit ball of \(\mathbb {R}^3\). Obtaining at the same time the generalization of \({\mathcal {Q}}_p\) monogenic spaces presented in (Gürlebeck et al., On \(\mathbb {Q}_{p}-\)spaces of quaternion-valued functions, 1999) and \(B^{q,p}\) monogenic spaces in (El-Sayed Ahmed et al., Complex Var Elliptic Equ 51(2):119–136, 2006).
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Miss P., A.G., Reséndis O., L.F. & Tovar S., L.M. Quaternionic \(F (p,q,s)\) Function Spaces. Complex Anal. Oper. Theory 9, 999–1024 (2015). https://doi.org/10.1007/s11785-014-0387-x
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DOI: https://doi.org/10.1007/s11785-014-0387-x