1 citations · 4 across the 12 of their papers we have counts for
12 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…
Profile decomposition and multiple positive solutions for the perturbed CR Yamabe equation on the Heisenberg group
Riju Basak, Souptik Chakraborty, Tapendu Rana +1
In this article, we study an inhomogeneous critical nonlinear equation involving the sub-Laplacian on the Heisenberg group . We prove the multiplicity of positive solu…
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…
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…
- 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 spaces…
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…
Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane
Tapendu Rana, Michael Ruzhansky
In this article, we explore the boundedness properties of pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane, even when dealing wit…
Weighted estimates for Hardy-Littlewood maximal functions on Harmonic groups
Pritam Ganguly, Tapendu Rana, Jayanta Sarkar
Our aim in this article is to study the weighted boundedness of the centered Hardy-Littlewood maximal operator in Harmonic groups. Following Ombrosi et al. \cite{ORR}, we defi…
-boundedness of pseudo-differential operators on homogeneous trees
Tapendu Rana, Sumit Kumar Rano
The aim of this article is to study the -boundedness of pseudo-differential operators on a homogeneous tree . For , we establish a connection bet…
-boundedness of Pseudo differential operators on rank one Riemannian symmetric spaces of noncompact type
Sanjoy Pusti, Tapendu Rana
The aim of this paper is to study -boundedness property of the pseudo differential operator associated with a symbol, on rank one Riemannian symmetric spaces of noncompact typ…
A genuine analogue of Wiener Tauberian theorem for
Tapendu Rana
We prove a genuine analogue of Wiener Tauberian theorem for integrable functions on