Geodesic
Hardy and Rellich type inequalities on the complex affine group
Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 31-39

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In this paper, by using properties of the fundamental solution of the canonical right-invariant Laplacian, versions of Hardy and Rellich type inequalities are proved on the complex affine group. 
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     author = {B. Sabitbek and D. Suragan},
     title = {Hardy and {Rellich} type inequalities on the complex affine group},
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B. Sabitbek; D. Suragan. Hardy and Rellich type inequalities on the complex affine group. Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 31-39. http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a2/