Rajesh K. Singh

activity

20172025

collaborators

5 papers

math.CA2025

Distances in sets of positive Korányi upper density in Heisenberg Group

K S Senthil Raani, Rajesh K. Singh

We prove that any measurable set in the Heisenberg group, $H^{n}$ , of positive upper density has the property that all sufficiently large real numbers are realised as the Ko…

math.CA2023

The Fourier transform on Rearrangement-Invariant Spaces

Ron Kerman, Rama Rawat, Rajesh K. Singh

We study inequalities of the form \begin{equation*} ρ( \lvert \hat{f} \rvert) \leq C σ(f) < \infty, \end{equation*} with $f \in L_{1} (R^{n})$ , the Lebesgue-integrable functi…

math.CA2022

Weighted estimates for bilinear fractional integral operator on the Heisenberg group

Abhishek Ghosh, Rajesh K. Singh

In this article, we introduce an analogue of Kenig and Stein's bilinear fractional integral operator on the Heisenberg group $H^{n}$ . We completely characterize exponents $α…

math.CA2017

A sharp form of the Marcinkiewicz Interpolation Theorem for Orlicz spaces

Ron Kerman, Rama Rawat, Rajesh K. Singh

An extension of Marcinkiewicz Interpolation Theorem, allowing intermediate spaces of Orlicz type, is proved. This generalization yields a necessary and sufficient condition so that…

math.FA2017

Dilation-commuting operators on power-weighted Orlicz classes

Ron Kerman, Rama Rawat, Rajesh K. Singh

Let $Φ_{1}$ and $Φ_{2}$ be nondecreasing functions from $R_{+} = (0, \infty)$ onto itself. For $i = 1, 2$ and $γ \in R$ , define the Orlicz class $L_{Φ_{i}} (R_{+})$ to b…