5 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…
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 boundedness of both…
Estimates for the wave equation on -dimensional spaces of measures
Riju Basak, Daniel Spector
In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on -dimension stable spaces of measures. Our estimates give a refinement of known…
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, Calderón-Zygmund decompositions, and John-Nirenberg inequalities for translation invariant…
On sharp constants in higher order Adams-Cianchi inequalities
Prasun Roychowdhury, Daniel Spector
The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, wh…