Daniel Spector

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20242026

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math.AP2024

A sparse resolution of the DiPerna-Majda gap problem for $2$ D Euler equations

Oscar DomÃnguez, 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 $f > 0$ such that uniform rates $∣ I ¨ ∣ (Q) \leq f (∣ Q ∣)$ o…

math.AP2024

$B M O$ 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 $I^^{2}$ -dimensional mean oscillation for $I^^{2} \in (0, n]$ to regularity theory of…

math.AP2024

On the Trace of $W ˙_{a}^{m + 1, 1} (R_{+}^{n + 1})$

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…

A sparse resolution of the DiPerna-Majda gap problem for 2D Euler equations

BMO and gradient estimates for solutions of critical elliptic equations

On the Trace of W˙am+1,1​(R+n+1​)

A sparse resolution of the DiPerna-Majda gap problem for $2$ D Euler equations

$B M O$ and gradient estimates for solutions of critical elliptic equations

On the Trace of $W ˙_{a}^{m + 1, 1} (R_{+}^{n + 1})$