1 citations · 2 across the 3 of their papers we have counts for
5 papers
On the mapping properties of a radially power-weighted k-plane transform
Aniruddha Deshmukh, Ashisha Kumar
In this article, we study a weighted analogue of the -plane transform, where the weight on the -dimensional measure is given by a radial power of distance. Particularly, we f…
An Extrapolation Theorem in the setting of Hausdorff capacities
Aniruddha Deshmukh
In this article, we prove an analogue of the Rubio de Francia's extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to thos…
Certain Weighted -improving estimates for the totally-geodesic -plane transform on simply connected spaces of constant curvature
Aniruddha Deshmukh, Ashisha Kumar
In this article we study the -improving mapping properties of the totally-geodesic -plane transform on simply connected spaces of constant curvature, namely, …
End-point estimates of the totally-geodesic Radon transform on simply connected spaces of constant curvature: A Unified Approach
Aniruddha Deshmukh, Ashisha Kumar
In this article, we give a unified proof of the end-point estimates of the totally-geodesic -plane transform of radial functions on spaces of constant curvature. The problem of…
Rigidity of angles in Inner product Spaces
Aniruddha Deshmukh, Ashisha Kumar
In this article, we discuss the equality of two inner products on a vector space. Particularly, we look at some geometric properties that are given to a vector space by an inner pr…