2 problems

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Jones's conjecture on the function-theoretic extremality of $(\epsilon,\delta)$ domains
Let $\Omega\subset\mathbb R^n$ be an $(\epsilon,\delta)$ domain, meaning a domain satisfying the quantitative curve-connectivity condition introduced by Jones. Such domains are Jon…
Conjecturesolvedextension-domains function-theory uniform-domainsarXiv posted 2 days ago
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Subinvariance of uniform domains under freely quasiconformal mappings
Let $X$ and $Y$ be quasiconvex and complete metric spaces, let $G\varsubsetneq X$ be a domain, and let $G'\varsubsetneq Y$ be a quasiconvex domain. Suppose that $f:G\to G'$ and…
Conjectureopenmetric-geometry quasiconformal-mappings uniform-domainsarXiv posted 2 days ago

Jones's conjecture on the function-theoretic extremality of (ϵ,δ)(\epsilon,\delta)(ϵ,δ) domains