10 citations · 17 across the 16 of their papers we have counts for
21 papers
Sharp weighted weak-type bounds for commutators of singular integrals
Adam Mair, Óscar Andrés Ramírez, Cody B. Stockdale
We establish sharp weak-type bounds for commutators of Calderón--Zygmund operators and symbols with respect to weights. We prove that the bound \lo…
The weak-type (1,1) bound for the Hardy--Littlewood maximal function is
Daniel Spector, Cody B. Stockdale
We prove a weak-type estimate for the centered Hardy--Littlewood maximal function with respect to Euclidean balls with dimensional dependence . This imp…
A dimension-free weak-type bound for the vector Riesz transform on
Yuyuan Ouyang, Daniel Spector, Cody B. Stockdale
We show that the best constant in the weak-type bound for the vector Riesz transform on is at most , independent of the dimension . The proof relies on…
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, , of a simply connected domain and the boundary geometry of $…
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, . We apply this result to establish the algebra property for…
On the compactness of bi-parameter singular integrals
Cody B. Stockdale, Cody Waters
We establish a new theorem for the compactness of bi-parameter Calderón-Zygmund singular integral operators. Namely, we show that if a bi-parameter CZO satisfies the produ…
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)…
An atomic decomposition for functions of bounded variation
Daniel Spector, Cody B. Stockdale, Dmitriy Stolyarov
In this paper, we give a decomposition of the gradient measure of an arbitrary function of bounded variation into a sum of atoms , where is a set of finite p…
Compact pseudodifferential and Fourier integral operators via localization
Cody B. Stockdale, Cody Waters
We present a general framework of localized operators, i.e., operators whose matrix coefficients with respect to the Gabor frame are concentrated on the diagonal. We show that loca…
Weighted weak-type bounds for multilinear singular integrals
Zoe Nieraeth, Cody B. Stockdale, Brandon Sweeting
We establish analogs of sharp weighted weak-type bounds for -sublinear operators satisfying sparse form domination, including multilinear Calderón-Zygmund singular integrals. Ou…
On the theorem for compactness of Calderón-Zygmund operators
Mishko Mitkovski, Cody B. Stockdale
We give a new formulation of the theorem for compactness of Calderón-Zygmund singular integral operators. In particular, we prove that a Calderón-Zygmund operator is compa…
Riesz-Kolmogorov type compactness criteria in function spaces with applications
Mishko Mitkovski, Cody B. Stockdale, Nathan A. Wagner +1
We present forms of the classical Riesz-Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our theorems apply to classify the prec…
Weighted theory of Toeplitz operators on the Bergman space
Cody B. Stockdale, Nathan A. Wagner
We study the weighted compactness and boundedness properties of Toeplitz operators on the Bergman space with respect to Békollè-Bonami type weights. Let denote the Toeplitz o…
Weighted endpoint bounds for the Bergman and Cauchy-Szegő projections on domains with near minimal smoothness
Cody B. Stockdale, Nathan A. Wagner
We study the Bergman projection, , and the Cauchy-Szegő projection, , on bounded domains with near minimal smoothness. We prove that has the…
On the dimensional weak-type bound for Riesz transforms
Daniel Spector, Cody B. Stockdale
Let denote the Riesz transform on . We prove that there exists an absolute constant such that \begin{align*} |\{|R_jf|>λ\}|\leq C\left(\fr…
Sparse domination results for compactness on weighted spaces
Cody B. Stockdale, Paco Villarroya, Brett D. Wick
By means of appropriate sparse bounds, we deduce compactness on weighted spaces, , for all Calderón-Zygmund operators having compact extensions on $L^2(\mathbb…
A limited-range Calderón-Zygmund theorem
Loukas Grafakos, Cody B. Stockdale
For a limited range of indices , we obtain boundedness for singular integral operators whose kernels satisfy a condition weaker than the typical Hörmander sm…
A weighted endpoint weak-type estimate for multilinear Calderón-Zygmund operators
Cody B. Stockdale
Two proofs of a weighted weak-type estimate for multilinear Calderón-Zygmund operators are given. The ideas are motivated by different proofs…
A different approach to endpoint weak-type estimates for Calderón-Zygmund operators
Cody B. Stockdale
We present a new proof of the classical weak-type estimate for Calderón-Zygmund operators. This proof is inspired by ideas of Nazarov, Treil, and Volberg that address the n…
An endpoint weak-type estimate for multilinear Calderón-Zygmund operators
Cody B. Stockdale, Brett D. Wick
The purpose of this article is to provide an alternative proof of the weak-type estimate for -multilinear Calderón-Zygmund operators on $\m…
On generalizations of separating and splitting families
Daniel Condon, Samuel Coskey, Luke Serafin +1
The work in this article is concerned with two different types of families of finite sets: separating families and splitting families (they are also called "systems"). These famili…