Research

I work primarily in harmonic analysis. My research concerns Hardy-type inequalities, fractional Hardy and Stein–Weiss inequalities, and related questions for Dunkl operators.

Published Articles

Hardy inequality and trace Hardy inequality for Dunkl gradient
Anoop V. P. and Sanjay Parui

Collectanea Mathematica, 2019. DOI →
Hardy inequality and fractional Hardy inequality for Dunkl Laplacian
Anoop V. P. and Sanjay Parui

Israel Journal of Mathematics, 2020. DOI →
Existence of extremals of Dunkl-type Sobolev inequality and of Stein–Weiss inequality for Dunkl Riesz potential
Anoop V. P., Saswata Adhikari and Sanjay Parui

Complex Analysis and Operator Theory, 2021. DOI →
Improved fractional Hardy inequalities for Dunkl gradient
Anoop V. P. and Sanjay Parui

Mathematical Inequalities and Applications, 2021. DOI →
Hardy–Littlewood–Sobolev inequality for upper half space
Anoop V. P. and Sanjay Parui

Annales Mathématiques Blaise Pascal, 2021. DOI →

Communicated

Stein–Weiss type inequalities for Dunkl operators — Anoop V. P. and Sanjay Parui.

In Preparation

Hardy-type inequalities for Weinstein operator — Anoop V. P. and Sanjay Parui.
Stein–Weiss type inequalities with fractional Poisson kernel — Anoop V. P.
Fractional Hardy inequalities in convex domains — Anoop V. P. and Saswata Adhikari.