Open AccessReverse integral Hardy inequality on metric measure spaces
Author(s) -
Aidyn Kassymov,
Michael Ruzhansky,
Дурвудхан Сураган
Publication year - 2021
Publication title -
annales fennici mathematici
Language(s) - English
Resource type - Journals
eISSN - 2737-114X
pISSN - 2737-0690
DOI - 10.54330/afm.112455
Subject(s) - mathematics , minkowski inequality , inequality , hölder's inequality , kantorovich inequality , measure (data warehouse) , pure mathematics , hardy space , metric (unit) , bernoulli's inequality , homogeneous , mathematical analysis , linear inequality , combinatorics , computer science , economics , operations management , database
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.