Reverse integral Hardy inequality on metric measure spaces

Författare

  • Aidyn Kassymov Ghent University, Department of Mathematics, and Institute of Mathematics and Mathematical Modeling, Kazakhstan, and Al-Farabi Kazakh National University
  • Michael Ruzhansky Ghent University, Department of Mathematics, and Queen Mary University of London, School of Mathematical Sciences
  • Durvudkhan Suragan Nazarbayev University, School of Science and Technology, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.112455

Nyckelord:

Reverse integral Hardy inequality, reverse Minkowski inequality, metric measure space, homogeneous Lie group, hyperbolic space, Cartan-Hadamard manifolds

Abstract

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.

 

Nedladdningar

Publicerad

2021-11-29

Nummer

Vol 47 Nr 1 (2022)

Sektion

Articles

Licens

Copyright (c) 2021 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

Kassymov, A., Ruzhansky, M., & Suragan, D. (2021). Reverse integral Hardy inequality on metric measure spaces. Annales Fennici Mathematici, 47(1), 39-55. https://doi.org/10.54330/afm.112455