B. Sabitbek, D. Suragan, “Hardy and Rellich type inequalities on the complex affine group”, Eurasian Math. J., 2017, том 8, номер 2,страницы 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

Аннотация: 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.

Ключевые слова и фразы: complex affine group, fundamental solution, Rellich inequality, Hardy inequality.

MSC: 35A23, 35H20

Поступила в редакцию: 29.11.2016

Язык публикации: английский