3 papers
math.AP2024
Fractional Hardy's inequality for half spaces in the Heisenberg group
Rama Rawat, Haripada Roy
We establish the following fractional Hardy's inequality $$\int_{\mathbb{H}^n_+}\frac{|f(ξ)|^p}{x_1^{sp}|z|^α}dξ\leq C\int_{\mathbb{H}^n_+}\int_{\mathbb{H}^n_+}\frac{|f(ξ)-f(ξ')|^p…
math.AP2023
Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group
Rama Rawat, Haripada Roy, Prosenjit Roy
The aim of this work is to establish some cases of the Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the fractional Sobolev spaces. Here we work with the fract…
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 , the Lebesgue-integrable functi…