3 papers
math.AP2021
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces
Arka Mallick, Hoai-Minh Nguyen
We establish the full range Gagliardo-Nirenberg and the Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces for the (fractional) derivative…
math.FA2019
Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy
Arka Mallick, Hoai-Minh Nguyen
Let , , and let be a smooth bounded open subset of . We prove some exponential integrability in the spirit of Moser-Trudinger's inequalities for…
math.AP2018
On the Strong unique continuation property of a degenerate elliptic operator with Hardy type potential
Agnid Banerjee, Arka Mallick
In this paper we prove strong unique continuation for the following degenerate elliptic equation \begin{equation}\label{e0} Δ_zu +|z|^2\partial_t^2u = Vu,\quad (z,t) \in \mathbb{R}…