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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 338–344
DOI: https://doi.org/10.33048/semi.2021.18.023 (Mi semr1364) 		 
Real, complex and functional analysis

A note on Hardy type inequalities for quaternion-valued functions

M. Mustafa, D. Suragan

Department of Mathematics, Nazarbayev University, 53, Qabanbaybatyr ave., Nur-Sultan, 010000, Kazakhstan
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DOI: https://doi.org/10.33048/semi.2021.18.023
Abstract: 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, quaternion.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP09057887
Nazarbayev University FDCRG 021220FD3851
FDCRG 240919FD3901
This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09057887). The first author was supported by Nazarbayev University FDCRG 021220FD3851. The second author was supported by Nazarbayev University FDCRG 240919FD3901.
Received October 25, 2019, published March 31, 2021
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 46S10, 46B85
Language: English
Citation: M. Mustafa, D. Suragan, “A note on Hardy type inequalities for quaternion-valued functions”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 338–344
Citation in format AMSBIB
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\by M.~Mustafa, D.~Suragan
\paper A note on Hardy type inequalities for quaternion-valued functions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 338--344
\mathnet{http://mi.mathnet.ru/semr1364}
\crossref{https://doi.org/10.33048/semi.2021.18.023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000641266800001}
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