Geodesic
A note on Hardy type inequalities for quaternion-valued functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 338-344

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In this note, we present $L^p$-Hardy type inequalities and Hardy-Rellich type inequalities for generalized quaternion-valued functions. As consequences, uncertainty principles and embedding theorems are obtained in the quaternion context.
Keywords: hardy inequality, quatrenion-valued function, dirac operator
Mots-clés : quaternion. 
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     title = {A note on {Hardy} type inequalities for quaternion-valued functions},
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M. Mustafa; D. Suragan. A note on Hardy type inequalities for quaternion-valued functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 338-344. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a43/