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Eurasian Mathematical Journal, 2017, Volume 8, Number 2, Pages 31–39 (Mi emj254)  
Hardy and Rellich type inequalities on the complex affine group

B. Sabitbekab, D. Suragana

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
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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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 5127/GF4
The authors were supported by the Ministry of Education and Science of the Republic of Kazakhstan, grant 5127/GF4.
Received: 29.11.2016
Bibliographic databases:
Document Type: Article
MSC: 35A23, 35H20
Language: English
Citation: B. Sabitbek, D. Suragan, “Hardy and Rellich type inequalities on the complex affine group”, Eurasian Math. J., 8:2 (2017), 31–39
Citation in format AMSBIB
\Bibitem{SabSur17}
\by B.~Sabitbek, D.~Suragan
\paper Hardy and Rellich type inequalities on the complex affine group
\jour Eurasian Math. J.
\yr 2017
\vol 8
\issue 2
\pages 31--39
\mathnet{http://mi.mathnet.ru/emj254}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412802400003}
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