arXiv:2206.10863 Abstract | arXiv Analytics

arXiv:2206.10863 [math.AP]Abstract References Reviews Resources

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

Published 2022-06-22Version 1

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.

Comments: 14 pages

Categories: math.AP

Keywords: sobolev space, poincaré-hardy inequalities, hyperbolic space, usual hardy constant, hardy type inequality

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