5 papers · 1 filter
Sharp Quantitative Forms of the Hardy Inequality on Cartan-Hadamard Manifolds via Sobolev-Lorentz Embeddings
Avas Banerjee, Debdip Ganguly, Prasun Roychowdhury
In this article, we investigate the quantitative form of the classical Hardy inequality. In our first result, we prove the following quantitative bound under the assumption that th…
Critical, stability and higher-order analysis for Hardy type inequalities on Cartan-Hadamard manifolds
Prasun Roychowdhury, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this paper, we focus on three main objectives related to Hardy-type inequalities on Cartan-Hadamard manifolds. Firstly, we explore critical Hardy-type inequalities that contain…
Extremizer Stability of Higher-order Hardy-Rellich inequalities for Baouendi--Grushin vector fields
Avas Banerjee, Riju Basak, Prasun Roychowdhury
In this paper, we improve the -Rellich and Hardy-Rellich inequalities in the setting of radial Baouendi-Grushin vector fields. We establish an identity relating the subcritica…
Hardy and Rellich identities and inequalities for Baouendi-Grushin operators via spherical vector fields
Debdip Ganguly, K. Jotsaroop, Prasun Roychowdhury
For Baouendi-Grushin vector fields, we prove Hardy, Hardy-Rellich, and Rellich identities and inequalities with sharp constants. Our explicit remainder terms significantly improve…
On sharp constants in higher order Adams-Cianchi inequalities
Prasun Roychowdhury, Daniel Spector
The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, wh…