8 papers
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…
Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content
Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury
We study the action of uncentered fractional maximal functions on mean oscillation spaces associated with the dyadic Hausdorff content with .…
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…
One-dimensional integral Rellich type inequalities
Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan
The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality ver…
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…