B. Wick

activity

20042026

most citedCommutators in the Two-Weight Setting

107 citations · 699 across the 121 of their papers we have counts for

collaborators

Showing 2015 · math.CAShow all

6 papers · 2 filters

math.CA2015★ 2 cited

Two Weight Inequalities for Iterated Commutators with Calderón-Zygmund Operators

Irina Holmes, Brett D. Wick

Given a Calderón-Zygmund operator $T$ , a classic result of Coifman-Rochberg-Weiss relates the norm of the commutator $[b, T]$ with the BMO norm of $b$ . We focus on a weighted versi…

math.CA2015★ 4 cited

Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting

Xuan Thinh Duong, Ji Li, Brett D. Wick +1

Fix $λ > 0$ . Consider the Hardy space $H^{1} (R_{+}, d m_{λ})$ in the sense of Coifman and Weiss, where $R_{+} := (0, \infty)$ and $d m_{λ} := x^{2 λ} d x$ with $d x$ the Lebesgue measure…

math.CA2015★ 107 cited

Commutators in the Two-Weight Setting

Irina Holmes, Michael T. Lacey, Brett D. Wick

Let $R$ be the vector of Riesz transforms on $R^{n}$ , and let $μ, λ \in A_{p}$ be two weights on $R^{n}$ , $1 < p < \infty$ . The two-weight norm inequality for the commuta…

math.CA2015★ 24 cited

Bloom's Inequality: Commutators in a Two-Weight Setting

Irina Holmes, Michael T. Lacey, Brett D. Wick

In 1985, Bloom characterized the boundedness of the commutator $[b, H]$ as a map between a pair of weighted $L^{p}$ spaces, where both weights are in $A_{p}$ . The characterization is…

math.CA2015★ 3 cited

Characterizations of $H_{Δ_{N}}^{1} (R^{n})$ and $BM O_{Δ_{N}} (R^{n})$ via Weak Factorizations and Commutators

Ji Li, Brett D. Wick

This paper provides a deeper study of the Hardy and $BMO$ spaces associated to the Neumann Laplacian $Δ_{N}$ . For the Hardy space $H_{Δ_{N}}^{1} (R^{n})$ (which is a proper sub…

math.CA2015

A Study of the Matrix Carleson Embedding Theorem with Applications to Sparse Operators

Kelly Bickel, Brett D. Wick

In this paper, we study the dyadic Carleson Embedding Theorem in the matrix weighted setting. We provide two new proofs of this theorem, which highlight connections between the mat…