3 papers
math.FA2025
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…
math.FA2025
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, …
math.FA2024
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…