Aleksei Y. Chikalov

works on

ahlfors-david regular sets 1 besov spaces 1 extension operators 1 metric measure spaces 1 poincaré inequality 1 trace theorems 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.FA2026

On the Linearity of Extension Operators for Traces of Besov Spaces on Metric Measure Spaces: The Limiting Case

Aleksei Y. Chikalov

The paper proves that for metric measure spaces with a locally doubling measure and a local weak (1,p)-Poincaré inequality, there is no bounded linear operator that extends functio…

math.FA2026

Traces of Besov spaces to regular subsets of metric measure spaces: the limiting case

Aleksei Y. Chikalov

Let $(X, d, I^¼)$ be a metric measure space whose measure $I^¼$ is uniformly locally doubling and which supports a local weak $(1, p)$ -PoincarÃ© inequality for some $p \in [1, \infty)$ . Gi…

math.FA2026

Traces of weighted Besov spaces to Ahlfors-David regular sets: the limiting case

Aleksei Y. Chikalov

Given $n \in N$ , $p \in [1, \infty)$ , and a weight $I^^{3}$ satisfying the local Muckenhoupt $A_{p}$ condition, we introduce a weakened version of the Ahlfors--David codimension-$Î…