Reverse integral Hardy inequality on metric measure spaces
Kassymov A. Ruzhansky M. Suragan D.
2021Finnish Mathematical Society
Annales Fennici Mathematici
2021#47Issue 139 - 55 pp.
In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse Hardy inequality to be true. The main tool in our proof is a continuous version of the reverse Minkowski inequality. In addition, we present some consequences of the obtained reverse Hardy inequality on the homogeneous groups, hyperbolic spaces and Cartan–Hadamard manifolds.
Cartan–hadamard manifolds , Homogeneous lie group , Hyperbolic space , Metric measure space , Reverse integral hardy inequality , Reverse minkowski inequality
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Department of Mathematics, Belgium
Inst. of Mathematics and Math. Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, 71 Al-Farabi ave., Almaty, 050040, Kazakhstan
Queen Mary University of London, School of Mathematical Sciences, United Kingdom
Nazarbayev University, School of Science and Technology, Department of Mathematics, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
Inst. of Mathematics and Math. Modeling
Al-Farabi Kazakh National University
Queen Mary University of London
Nazarbayev University
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