B. Sabitbek, D. Suragan, “Hardy and Rellich type inequalities on the complex affine group”, Eurasian Math. J., 2017, Volume 8, Number 2,Pages <nobr>31

Hardy and Rellich type inequalities on the complex affine group

B. Sabitbek^ab, D. Suragan^a

^a Institute of Mathematics and Mathematical Modeling, 125 Pushkin street, 050010 Almaty, Kazakhstan
^b Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, 050040 Almaty, Kazakhstan

Abstract: 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.

Keywords and phrases: complex affine group, fundamental solution, Rellich inequality, Hardy inequality.

MSC: 35A23, 35H20

Received: 29.11.2016

Language: English