arXiv subjects

Sanjay Parui

Publications and source records attributed to Sanjay Parui.

3 recordsLinked to original sources

arXiv2023

Weighted Bilinear Multiplier Theorems in Dunkl Setting via Singular Integrals

The purpose of this article is to present one and two-weight inequalities for bilinear multiplier operators in Dunkl setting with multiple Muckenhoupt weights. In order to do so, new results regarding Littlewood-Paley type theorems and weighted inequalities for multilinear Calder\'on-Zygmund operators in Dunkl setting are also proved.

math.CA↗

arXiv2019

Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential

In this paper, we prove the existence of an extremal for the Dunkl-type Sobolev inequality in case of $p=2$. Also we prove the existence of an extremal of the Stein-Weiss inequality for the D-Riesz potential in case of $r=2$.

math.FA↗

arXiv2007

Beurling's Theorem and $L^p-L^q$ Morgan's Theorem for Step Two Nilpotent Lie Groups

We prove Beurling's theorem and $L^p-L^q$ Morgan's theorem for step two nilpotent Lie groups

math.RT↗