Revisiting the Rellich inequality
N Bez, S Machihara, T Ozawa - Mathematische Zeitschrift, 2023 - Springer
We revisit the Rellich inequality from the viewpoint of isolating the contributions from radial
and spherical derivatives. This naturally leads to a comparison of the norms of the radial …
and spherical derivatives. This naturally leads to a comparison of the norms of the radial …
Improved hardy inequalities on Riemannian manifolds
We study the following version of Hardy-type inequality on a domain Ω in a Riemannian
manifold (M, g):∫ Ω|∇ u| gp ρ α d V g≥(| p− 1+ β| p) p∫ Ω| u| p|∇ ρ| gp| ρ| p ρ α d V g+∫ Ω …
manifold (M, g):∫ Ω|∇ u| gp ρ α d V g≥(| p− 1+ β| p) p∫ Ω| u| p|∇ ρ| gp| ρ| p ρ α d V g+∫ Ω …
Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space
D Ganguly, P Roychowdhury - Proceedings of the American Mathematical …, 2023 - ams.org
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 …
Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a …
Some notes on the critical Hardy inequalities
NT Duy - Indian Journal of Pure and Applied Mathematics, 2021 - Springer
In this paper, we study the critical Hardy inequalities with Bessel pairs with exact remainder
terms and their applications. We then establish the relations between the critical Hardy …
terms and their applications. We then establish the relations between the critical Hardy …
Weighted Hardy–Rellich Inequality for Dunkl Operators
J Lyu, Y Jin, S Shen, L Tang - Mathematics, 2023 - mdpi.com
In this paper, we proved a weighted Hardy–Rellich inequality for Dunkl operators based on
the spherical h-harmonic decomposition theory of Dunkl operators. Moreover, we obtained …
the spherical h-harmonic decomposition theory of Dunkl operators. Moreover, we obtained …
A note on the Rellich inequality on half-space
A NOTE ON THE RELLICH INEQUALITY ON HALF-SPACE Page 1 Analysis Math., 47 (3) (2021),
559–567 DOI: 10.1007/s10476-021-0095-5 First published online July 23, 2021 A NOTE ON …
559–567 DOI: 10.1007/s10476-021-0095-5 First published online July 23, 2021 A NOTE ON …
[PDF][PDF] Cylindrical Hardy type inequalities with Bessel pairs
NT Duy, PHI LE LONG - RN, 2021 - files.ele-math.com
Cylindrical Hardy type inequalities with Bessel pairs Page 1 Operators and Matrices Volume
15, Number 2 (2021), 485–495 doi:10.7153/oam-2021-15-34 CYLINDRICAL HARDY TYPE …
15, Number 2 (2021), 485–495 doi:10.7153/oam-2021-15-34 CYLINDRICAL HARDY TYPE …