Cody B. Stockdale

activity

20182026

collaborators

15 papers

math.CA2026

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O (n lo g n)$

Daniel Spector, Cody B. Stockdale

We prove a weak-type $(1, 1)$ estimate for the centered Hardy--Littlewood maximal function with respect to Euclidean balls with dimensional dependence $O (n lo g n)$ . This imp…

math.CA2026

A dimension-free weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$

Yuyuan Ouyang, Daniel Spector, Cody B. Stockdale

We show that the best constant in the weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$ is at most $2$ , independent of the dimension $n$ . The proof relies on…

math.CV2026

Weak-type estimates for the Bergman projection on planar domains

A. Walton Green, Cody B. Stockdale, Brandon Sweeting +1

We investigate the relationship between the weak-type regularity of the Bergman projection, $Π_{Ω}$ , of a simply connected domain $Ω \subset C$ and the boundary geometry of $…

math.CA2026

Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property

Valentia Fragkiadaki, Mishko Mitkovski, Cody B. Stockdale

We characterize the boundedness and compactness of dyadic paraproducts on local dyadic fractional Sobolev spaces, $H^{s}$ . We apply this result to establish the algebra property for…

math.CA2026

On the compactness of bi-parameter singular integrals

Cody B. Stockdale, Cody Waters

We establish a new $T 1$ theorem for the compactness of bi-parameter Calderón-Zygmund singular integral operators. Namely, we show that if a bi-parameter CZO $T$ satisfies the produ…

math.FA2025

Weak-type bounds for the Bergman projection with Bekollé-Bonami weights

Jiale Chen, Zoe Nieraeth, Cody B. Stockdale +1

We establish weighted weak-type bounds for the Bergman projection with respect to Bekollé-Bonami characteristics. We present two proofs of an improved quantitative weak-type $(1,1)…

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is O(n​logn)

A dimension-free weak-type (1,1) bound for the vector Riesz transform on Rn

Weak-type estimates for the Bergman projection on planar domains

Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property

On the compactness of bi-parameter singular integrals

Weak-type bounds for the Bergman projection with Bekollé-Bonami weights

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O (n lo g n)$

A dimension-free weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$