O. Tapiola

activity

20142023

most citedWeak A_\infty weights and weak Reverse Hölder property in a space of homogeneous type

9 citations · 13 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.AP2023

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains

Simon Bortz, Bruno Poggi, Olli Tapiola +1

Suppose that $Ω \subset R^{n + 1}$ , $n \geq 1$ , is a uniform domain with $n$ -Ahlfors regular boundary and $L$ is a (not necessarily symmetric) divergence form elliptic, real, bou…

math.AP2022★ 1 cited

Connectivity conditions and boundary Poincaré inequalities

Olli Tapiola, Xavier Tolsa

Inspired by recent work of Mourgoglou and the second named author, and earlier work of Hofmann, Mitrea and Taylor, we consider connections between the local John condition, the Har…

math.AP2020

Uniform rectifiability implies Varopoulos extensions

Steve Hofmann, Olli Tapiola

We construct extensions of Varopolous type for functions $f \in BMO (E)$ , for any uniformly rectifiable set $E$ of codimension one. More precisely, let $Ω\subset \mathbb{R}^{…

math.AP2018

$ε$ -Approximability of Harmonic Functions in $L^{p}$ Implies Uniform Rectifiability

Simon Bortz, Olli Tapiola

Suppose that $Ω \subset R^{n + 1}$ , $n \geq 2$ , is an open set satisfying the corkscrew condition with an $n$ -dimensional ADR boundary, $\partial Ω$ . In this note, we show tha…

The A∞​ condition, ε-approximators, and Varopoulos extensions in uniform domains

Connectivity conditions and boundary Poincaré inequalities

Uniform rectifiability implies Varopoulos extensions

ε-Approximability of Harmonic Functions in Lp Implies Uniform Rectifiability

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains

$ε$ -Approximability of Harmonic Functions in $L^{p}$ Implies Uniform Rectifiability