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

collaborators

9 papers

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.CA2019★ 1 cited

$C_{p}$ estimates for rough homogeneous singular integrals and sparse forms

Javier Canto, Kangwei Li, Luz Roncal +1

We consider Coifman--Fefferman inequalities for rough homogeneous singular integrals $T_{Ω}$ and $C_{p}$ weights. It was recently shown by Li-Pérez-Rivera-Ríos-Roncal that $$ \|T_Ω\|_{…

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…

math.CA2017★ 2 cited

Uniform rectifiability and $ε$ -approximability of harmonic functions in $L^{p}$

Steve Hofmann, Olli Tapiola

Suppose that $E \subset R^{n + 1}$ is a uniformly rectifiable set of codimension $1$ . We show that every harmonic function is $ε$ -approximable in $L^{p} (Ω)$ for ever…

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

Connectivity conditions and boundary Poincaré inequalities

Uniform rectifiability implies Varopoulos extensions

Cp​ estimates for rough homogeneous singular integrals and sparse forms

ε-Approximability of Harmonic Functions in Lp Implies Uniform Rectifiability

Uniform rectifiability and ε-approximability of harmonic functions in Lp

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

$C_{p}$ estimates for rough homogeneous singular integrals and sparse forms

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

Uniform rectifiability and $ε$ -approximability of harmonic functions in $L^{p}$