2 papers
math.AP2026
Potential Estimates and Hodge Systems with 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 -forms of finite mass on a smooth, compact Riemannian manifold of dim…
math.FA2025
An atomic decomposition of one-dimensional metric currents without boundary
You-Wei Benson Chen, Jesse Goodman, Felipe Hernandez +1
This paper proves an atomic decomposition of the space of -dimensional metric currents without boundary, in which the atoms are specified by closed Lipschitz curves with uniform…