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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…