5 papers · 1 filter
A sparse resolution of the DiPerna-Majda gap problem for D Euler equations
Oscar Domínguez, Daniel Spector
A central question which originates in the celebrated work in the 1980's of DiPerna and Majda asks what is the optimal decay such that uniform rates of…
and gradient estimates for solutions of critical elliptic equations
You-Wei Benson Chen, Juan Manfredi, Daniel Spector
In this paper we explore several applications of the recently introduced spaces of functions of bounded -dimensional mean oscillation for to regularity theory of cr…
Potential trace inequalities via a Calderón-type theorem
Zdeněk Mihula, Luboš Pick, Daniel Spector
In this paper we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of re…
On dimension stable spaces of measures
Daniel Spector, Dmitriy Stolyarov
In this paper, we define spaces of measures with dimensional stability . These spaces bridge between , the space of finite Radon…
On the Trace of
Giovanni Leoni, Daniel Spector
In this paper we prove extension results for functions in Besov spaces. Our results are new in the homogeneous setting, while our technique applies equally in the inhomogeneous set…