O. Tapiola

activity

20182020

collaborators

3 papers

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

$C_{p}$ 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…

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

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

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