Aleksei Y. Chikalov

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

Let $p \in [1, \infty)$ , and let $X = (X, d, μ)$ be a metric measure space such that $μ$ is uniformly locally doubling and $X$ supports a local weak $(1, p)$ -Poincaré inequality. Given $θ\…

math.FA2026

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

Aleksei Y. Chikalov

Let $(X, d, μ)$ be a metric measure space whose measure $μ$ is uniformly locally doubling and which supports a local weak $(1, p)$ -Poincaré inequality for some $p \in [1, \infty)$ . Given…

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 $γ$ satisfying the local Muckenhoupt $A_{p}$ condition, we introduce a weakened version of the Ahlfors--David codimension- $θ$ …