Riju Basak

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math.AP2026

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 $L^{p} - L^{q}$ boundedness of both…

math.AP2025

Estimates for the wave equation on $I^^{2}$ -dimensional spaces of measures

Riju Basak, Daniel Spector

In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on $I^^{2}$ -dimension stable spaces of measures. Our estimates give a refinement of know…

math.AP2025

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 $L^{p}$ -Rellich and Hardy-Rellich inequalities in the setting of radial Baouendi-Grushin vector fields. We establish an identity relating the subcritica…

Boundary estimates for the fractional spherical maximal function

Estimates for the wave equation on I^2-dimensional spaces of measures

Extremizer Stability of Higher-order Hardy-Rellich inequalities for Baouendi--Grushin vector fields

Estimates for the wave equation on $I^^{2}$ -dimensional spaces of measures