6 papers
Topological Effects on Bubbling in the Critical Dirichlet Problem on Hyperbolic Domains:
Tapendu Rana, Michael Ruzhansky, Zhipeng Yang
Let \(Ω\Subset\mathbb H^N\), \(N\in\{3,4,5\}\), be a bounded connected \(C^2\) domain. We prove that the pure critical Dirichlet problem \[ -Δ_{\mathbb H}u=u^{\frac{N+2}{N-2}} \qua…
Multiplicity of Solutions to the Brezis-Nirenberg Problem on Hyperbolic Spaces
Sekhar Ghosh, Vishvesh Kumar, Tapendu Rana
This article investigates the multiplicity of solutions to the Brezis-Nirenberg problem on smooth bounded domains in the hyperbolic space for . Specifically…
Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type
Tapendu Rana, Michael Ruzhansky
Our primary objective is to study Pitt-type inequalities on Riemannian symmetric spaces of noncompact type, as well as within the framework of Jacobi analysis. Inspire…
- Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type
Tapendu Rana, Michael Ruzhansky
Our primary objective in this article is to establish Hörmander type Fourier multiplier theorems in the context of noncompact type Riemannian symmetric space…
Classical inequalities for all Fourier matrix coefficients of and their applications
Vishvesh Kumar, Tapendu Rana, Michael Ruzhansky
In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for -ty…
Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type
Pratyoosh Kumar, Sanjoy Pusti, Tapendu Rana +1
This article explores weighted inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and suffi…