Daniel Spector

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20242026

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math.AP2026

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

Jesse Goodman, Felipe Hernández, 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…

Potential Estimates and Hodge Systems with L1 data on compact manifolds

Boundary estimates for the fractional spherical maximal function

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