10 citations · 17 across the 16 of their papers we have counts for
14 papers · 1 filter
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…
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…
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…
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…