M. Lacey

activity

19992020

most citedVariations on the Theme of Journe's Lemma

19 citations · 64 across the 20 of their papers we have counts for

collaborators

Showing 2018Show all

6 papers · 1 filter

math.CA2018

Two Weight Inequalities for Positive Operators: Doubling Cubes

Wei Chen, Michael T. Lacey

For the maximal operator $M$ on $R^{d}$ , and $1 < p, ρ < \infty$ , there is a finite constant $D = D_{p, ρ}$ so that this holds. For all weights $w, σ$ on $ \mathbb…

math.CA2018

Weighted Estimates for One Sided Martingale Transforms

Wei Chen, Rui Han, Michael T. Lacey

Let $T f = \sum_{I} ε_{I} ⟨ f, h_{I^{+}} ⟩ h_{I^{-}}$ . Here, $∣ ε_{I} ∣ = 1$ , and $h_{J}$ is the Haar function defined on dyadic interval $J$ . We sh…

math.CA2018

Sparse Bounds for the Discrete Spherical Maximal Function

Robert Kesler, Michael T. Lacey, Darío Mena

We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proo…

math.CV2018

Commutators of Cauchy--Szegő type integrals for domains in $C^{n}$ with minimal smoothness

Xuan Thinh Duong, Michael Lacey, Ji Li +2

In this paper we study the commutator of Cauchy type integrals $\EuScript C$ on a bounded strongly pseudoconvex domain $D$ in $C^{n}$ with boundary $b D$ satisfying the minimu…

math.CA2018

$ℓ^{p}$ -improving inequalities for Discrete Spherical Averages

Robert Kesler, Michael T. Lacey

Let $λ^{2} \in N$ , and in dimensions $d \geq 5$ , let $A_{λ} f (x)$ denote the average of $f : Z^{d} \to R$ over the lattice points on the sphere of…

math.CA2018

On logarithmic bounds of maximal sparse operators

Grigori A. Karagulyan, Michael T. Lacey

Given sparse collections of measurable sets $S_{k}$ , $k = 1, 2, \dots, N$ , in a general measure space $(X, M, μ)$ , let $Λ_{S_{k}}$ be the sparse operator, corre…

Two Weight Inequalities for Positive Operators: Doubling Cubes

Weighted Estimates for One Sided Martingale Transforms

Sparse Bounds for the Discrete Spherical Maximal Function

Commutators of Cauchy--Szegő type integrals for domains in Cn with minimal smoothness

ℓp-improving inequalities for Discrete Spherical Averages

On logarithmic bounds of maximal sparse operators

Commutators of Cauchy--Szegő type integrals for domains in $C^{n}$ with minimal smoothness

$ℓ^{p}$ -improving inequalities for Discrete Spherical Averages