S. K. Ray

collaborators

2 papers

math.CA2025

$L^{p}$ -asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

Muna Naik, Swagato K. Ray, Jayanta Sarkar

For Riemannian symmetric spaces $X = G / K$ of noncompact type, we show that for all left $K$ -invariant $f \in L^{1} (X)$ , the functions $∥ h_{t} ∥_{L^{p} (X)}^{- 1} (f * h_{t} - M_{p} (f) h_{t})$ (with…

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…

Lp-asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

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

$L^{p}$ -asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type