Utsav Dewan

collaborators

4 papers

math.DG2024

Estimates of the Poisson kernel on negatively curved Hadamard manifolds

Kingshook Biswas, Utsav Dewan, Arkajit Pal Choudhury

Let $M$ be an $n$ -dimensional Hadamard manifold of pinched negative curvature $- b^{2} \leq K_{M} \leq - a^{2}$ . The solution of the Dirichlet problem at infinity for $M$ leads to the cons…

math.CA2024

Regularity and pointwise convergence of solutions of the Schrödinger operator with radial initial data on Damek-Ricci spaces

Utsav Dewan

One of the most celebrated problems in Euclidean Harmonic analysis is the Carleson's problem: determining the optimal regularity of the initial condition $f$ of the Schrödinger equ…

math.CA2024

Restricted Mean Value Property with non-tangential boundary behavior on Riemannian manifolds

Utsav Dewan

A well studied classical problem is the harmonicity of functions satisfying the restricted mean-value property (RMVP) for domains in $R^{n}$ . Recently, the author along with…

math.CA2023

Boundary exceptional sets for radial limits of superharmonic functions on non-positively curved Harmonic manifolds of purely exponential volume growth

Utsav Dewan

By classical Fatou type theorems in various setups, it is well-known that positive harmonic functions have non-tangential limit at almost every point on the boundary. In this paper…