12 citations · 15 across the 6 of their papers we have counts for
7 papers
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…
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…
Endpoint estimates for Hodge systems
Felipe Hernandez, Bogdan Raita, Daniel Spector
In this paper we give a simple proof of the endpoint Besov-Lorentz estimate $$ \|I_αF\|_{\dot{B}^{0,1}_{d/(d-α),1}(\mathbb{R}^d;\mathbb{R}^k)} \leq C \|F \|_{L^1(\mathbb{R}^d;\math…
Two Approximation Results for Divergence Free Measures
Jesse Goodman, Felipe Hernandez, Daniel Spector
In this paper we prove two approximation results for divergence free measures. The first is a form of an assertion of J. Bourgain and H. Brezis concerning the approximation of sole…
Fractional Integration and Optimal Estimates for Elliptic Systems
Felipe Hernandez, Daniel Spector
In this paper we give an affirmative answer to the Euclidean analogue of a question of Bourgain and Brezis concerning the optimal Lorentz estimate for a Div-Curl system: The functi…
Properties of a Hilbertian Norm for Perimeter
Felipe Hernandez
A recent paper of Jerison and Figalli proved a relationship between the norms of smoothed out indicator functions of sets and their perimeter. We continue this line of in…
A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates
Felipe Hernandez
A new decomposition for frequency-localized solutions to the Schrodinger equation is given which describes the evolution of the wavefunction using a weighted sum of Lipschitz tubes…