A Note on Hardy Type Inequalities For Quaternion-valued Functions
Mustafa M. Suragan D.
2021Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2021#18338 - 344 pp.
In this note, we present Lp-Hardy type inequalities and Hardy-Rellich type inequalities for generalized quaternion-valued functi- ons. As consequences, uncertainty principles and embedding theorems are obtained in the quaternion context.
Dirac operator , Hardy inequality , Quaternion , Quatrenion-valued function
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Department of Mathematics, Nazarbayev University 53, Qabanbaybatyr ave., Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
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