Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space-Reference-Cited by-同舟云学术

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space

Published:2023-04-20 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ganguly Debdip,Roychowdhury Prasun

Abstract

We prove an improved version of Poincaré-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.

Funder

National Center for Theoretical Sciences

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2023-16357-1/proc16357_AM.pdf

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