Mithun Bhowmik

activity

20162026

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Showing 2021Show all

3 papers · 1 filter

math.FA2021

Sharp Adams type inequalities for the fractional Laplace-Beltrami operator on noncompact symmetric spaces

Mithun Bhowmik

We establish sharp Adams type inequalities on Sobolev spaces $W^{α, n / α} (X)$ of any fractional order $α < n$ on Riemannian symmetric space $X$ of noncompact type with dimension $n$ …

math.CA2021

A theorem of Chernoff on quasi-analytic functions for Riemannian symmetric spaces

Mithun Bhowmik, Sanjoy Pusti, Swagato K Ray

An $L^{2}$ version of the classical Denjoy-Carleman theorem regarding quasi-analytic functions was proved by P. Chernoff on $R^{n}$ using iterates of the Laplacian. We give a s…

math.FA2021

An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type

Mithun Bhowmik, Sanjoy Pusti

In this paper we study an extension problem for the Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type and use the solution to prove Hardy-type inequalitie…