5 problems

Finiteness conjecture. The lower homotopy groups of $N$ need to be merely finite and do not need to be trivial for an extension operator to exist.

Consider a binary tree with arbitrary positive edge weights $(W_e)_{e\in E}$ that are not necessarily determined by the depth of the edge. For $p\neq 2$, let a linear extension ope…

Let $\mathbb{M}$ be a weight sequence, and let (i), (ii), and (iii) denote the first three conditions in Theorem, concerning the existence of extension operators in the associated…

Let $M$ be a metric space, let $Z$ be a Banach space, and let $\textnormal{Lip}_0(A,Z)$ denote the Banach space of Lipschitz maps vanishing at the base point. Define … where … and…

Let $F_{\partial\Omega_{\pi-\theta}}(\alpha)$ denote the boundary functional associated with the domain $\Omega_{\pi-\theta}$, where $\theta\rightarrow 0+$, and let $c'>0$ be a con…