J. Garnett

most citedA doubling measure on

R^{d}

can charge a rectifiable curve

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2022

On Extrapolation of Carleson Measures

John Garnett

We give an alternate proof of three versions of the theorem on extrapolation of Carleson measures.

math.CA2020

Carleson measure estimates and $ε$ -approximation of bounded harmonic functions, without Ahlfors regularity assumptions

John Garnett

Let $Ω$ be a domain in $R^{d + 1}$ , $d \geq 1$ . In the paper's references [HMM2] and [GMT] it was proved that if $Ω$ satisfies a corkscrew condition and if $\partial Ω$ is $…

math.MG2009★ 4 cited

A doubling measure on $R^{d}$ can charge a rectifiable curve

John Garnett, Rowan Killip, Raanan Schul

For $d \geq 2$ , we construct a doubling measure $ν$ on $R^{d}$ and a rectifiable curve $Γ$ such that $ν (Γ) > 0$ .

On Extrapolation of Carleson Measures

Carleson measure estimates and ε-approximation of bounded harmonic functions, without Ahlfors regularity assumptions

A doubling measure on Rd can charge a rectifiable curve

Carleson measure estimates and $ε$ -approximation of bounded harmonic functions, without Ahlfors regularity assumptions

A doubling measure on $R^{d}$ can charge a rectifiable curve