K. S. Senthil Raani

activity

20152023

collaborators

3 papers

math.CA2023

Distances in sparse sets of large Hausdorff dimension

Malabika Pramanik, K S Senthil Raani

The distance set $Δ (E)$ of a set $E$ consists of all non-negative numbers that represent distances between pairs of points in $E$ . This paper studies sparse (less than full-dimensi…

math.CA2016

Sharp weighted estimates for multi-frequency Calderón-Zygmund operators

Saurabh Shrivastava, K. S. Senthil Raani

In this paper we study weighted estimates for the multi-frequency $ω -$ Calderón-Zygmund operators $T$ associated with the frequency set $Θ = {ξ_{1}, ξ_{2}, \dots, ξ_{N}}$ and modulus of cont…

math.CA2015

$L^{p}$ Fourier asymptotics, Hardy type inequality and fractal measures

K. S. Senthil Raani

Suppose $μ$ is an $α$ -dimensional fractal measure for some $0 < α < n$ . Inspired by the results proved by R. Strichartz in 1990, we discuss the $L^{p}$ -asymptotics of the Fourier transfo…

Distances in sparse sets of large Hausdorff dimension

Sharp weighted estimates for multi-frequency Calderón-Zygmund operators

Lp Fourier asymptotics, Hardy type inequality and fractal measures

$L^{p}$ Fourier asymptotics, Hardy type inequality and fractal measures