Michael Frazier

activity

20182020

most citedPositive solutions and harmonic measure for Schrödinger operators in uniform domains

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2020★ 1 cited

Positive solutions and harmonic measure for Schrödinger operators in uniform domains

Michael W. Frazier, Igor E. Verbitsky

We give bilateral pointwise estimates for positive solutions of the equation \begin{equation*} \left\{ \begin{aligned} -\triangle u & = ωu \, \,& & \mbox{in} \, \, Ω, \quad u \ge 0…

math.CA2019

Littlewood-Paley Theory for Matrix-Weighted Function Spaces

Michael Frazier, Svetlana Roudenko

We define the vector-valued, matrix-weighted function spaces $F ˙_{p}^{α q} (W)$ (homogeneous) and $F_{p}^{α q} (W)$ (inhomogeneous) on $R^{n}$ , for $α \in R$ , $0<p<\inf…

math.AP2018

Existence of the gauge for fractional Laplacian Schrödinger operators

Michael W. Frazier, Igor E. Verbitsky

Let $Ω \subseteq R^{n}$ be an open set, where $n \geq 2$ . Suppose $ω$ is a locally finite Borel measure on $Ω$ . For $α \in (0, 2)$ , define the fractional Laplacian $(-\triangle…