3 papers
math.CA2024
Distributing mass under a pointwise bound and an application to weighted polynomial approximation
Linus Bergqvist, Bartosz Malman
Inspired by applications in weighted polynomial approximation problems, we study an optimal mass distribution problem. Given a gauge function and a positive "roof" function …
math.CV2023
A comparison theorem for Clark-Aleksandrov measures on the torus
Linus Bergqvist
Given two Clark-Aleksandrov measures and on $\bT^2$, we prove a theorem relating the property that to containment of a concrete function in a certain de B…
math.CV2023
Necessary conditions on the support of RP-measures
Linus Bergqvist
We give necessary conditions for when a subset of can contain the support of some non-zero RP-measure. Among other things we show that the support of a positive RP-m…