Utsav Dewan

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math.FA2026

Boundary behaviour of eigenfunctions and superharmonic functions on harmonic manifolds of purely exponential volume growth

Utsav Dewan

On $X$ , a non-positively curved harmonic manifold of purely exponential volume growth, of dimension $n \geq 3$ , we study certain quantitative aspects of the boundary behavi…

math.FA2025

Mapping properties of the SchrÃ¶dinger maximal function on Damek--Ricci spaces

Utsav Dewan, Swagato K. Ray

For $f \in S^{2} (S)_{o}$ , the collection of radial $L^{2}$ -Schwartz class functions on Damek--Ricci spaces $S$ , we consider the SchrÃ¶dinger maximal functio…

math.FA2025

Iterated convolution inequalities on $R^{d}$ and Riemannian Symmetric Spaces of non-compact type

Utsav Dewan

In a recent work (Int Math Res Not 24:18604-18612, 2021), Carlen-Jauslin-Lieb-Loss studied the convolution inequality $f \geq f * f$ on $R^{d}$ and proved that the real integra…

math.FA2025

Pointwise convergence of solutions of the SchrÃ¶dinger equation along general curves 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 SchrÃ¶dinger eq…

Boundary behaviour of eigenfunctions and superharmonic functions on harmonic manifolds of purely exponential volume growth

Mapping properties of the SchrÃ¶dinger maximal function on Damek--Ricci spaces

Iterated convolution inequalities on Rd and Riemannian Symmetric Spaces of non-compact type

Pointwise convergence of solutions of the SchrÃ¶dinger equation along general curves on Damek-Ricci spaces

Iterated convolution inequalities on $R^{d}$ and Riemannian Symmetric Spaces of non-compact type