8 papers
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…
Boundary estimates for the fractional spherical maximal function
Riju Basak, Surjeet Singh Choudhary, Daniel Spector
In this article, we study the fractional spherical maximal function and its lacunary counterpart. We study the necessary and sufficient conditions for boundedness of both…
Estimates for the wave equation on -dimensional spaces of measures
Riju Basak, Daniel Spector
In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on -dimension stable spaces of measures. Our estimates give a refinement of known…
On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator
Riju Basak, K. Jotsaroop
We prove various equivalent characterisations of the Hardy space for associated with the twisted Laplacian which generalises…
Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content
Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury
We study the action of uncentered fractional maximal functions on mean oscillation spaces associated with the dyadic Hausdorff content with . Fo…
Extremizer Stability of Higher-order Hardy-Rellich inequalities for Baouendi--Grushin vector fields
Avas Banerjee, Riju Basak, Prasun Roychowdhury
In this paper, we improve the -Rellich and Hardy-Rellich inequalities in the setting of radial Baouendi-Grushin vector fields. We establish an identity relating the subcritica…
On the Fourier transform of measures in Besov spaces
Riju Basak, Daniel Spector, Dmitriy Stolyarov
We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of negative exponent: \begin{align*}…
The Capacitary John-Nirenberg Inequality Revisited
Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury +1
In this paper, we establish maximal function estimates, Lebesgue differentiation theory, Calderón-Zygmund decompositions, and John-Nirenberg inequalities for translation invariant…