Daniel Spector

collaborators

4 papers

math.AP2026

Potential Estimates and Hodge Systems with $L^{1}$ data on compact manifolds

Jesse Goodman, Felipe HernÃ¡ndez, Daniel Spector

In this paper we establish optimal Lorentz estimates for the Riesz potentials acting on closed or co-closed $k$ -forms of finite mass on a smooth, compact Riemannian manifold of dim…

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.FA2025

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, CalderÃ³n-Zygmund decompositions, and John-Nirenberg inequalities for translation invariant…

Potential Estimates and Hodge Systems with L1 data on compact manifolds

Boundary estimates for the fractional spherical maximal function

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

The Capacitary John-Nirenberg Inequality Revisited

Potential Estimates and Hodge Systems with $L^{1}$ data on compact manifolds

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