Improved Poincar\'e-Hardy inequalities on certain subspaces of the Sobolev space
Analysis of PDEs
2023-03-20 v1
Abstract
We prove an improved version of Poincar\'e-Hardy inequality in suitable subspaces of the Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a new Hardy type inequality with an improved constant (than the usual Hardy constant). Furthermore, we derive a new kind of improved Caffarelli-Kohn-Nirenberg inequality on the hyperbolic space.
Keywords
Cite
@article{arxiv.2206.10863,
title = {Improved Poincar\'e-Hardy inequalities on certain subspaces of the Sobolev space},
author = {Debdip Ganguly and Prasun Roychowdhury},
journal= {arXiv preprint arXiv:2206.10863},
year = {2023}
}
Comments
14 pages