activity
20202026
most citedSome Closed Range Integral Operators On Spaces of Analytic Functions

23 citations · 58 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2026

Composition Semigroups on the Besov Spaces

Austin Anderson, Mirjana Jovovic, Wayne Smith

We study semigroups of composition operators acting on the Besov spaces , where they exhibit some new behaviors relative to many classical spaces. Often for a Banach space …

math.FA2026★ 15 cited

Composition Semigroups on BMOA and

Austin Anderson, Mirjana Jovovic, Wayne Smith

We study , the maximal space of strong continuity for a semigroup of composition operators induced by a semigroup of analytic self-maps of the unit dis…

math.CV2026★ 23 cited

Some Closed Range Integral Operators On Spaces of Analytic Functions

Austin Anderson

Our main result is a characterization of for which the operator is bounded below on the Bloch space. We point out analogous results for th…

math.CV2024★ 19 cited

Some integral operators acting on

Austin Anderson, Mirjana Jovovic, Wayne Smith

Let and be analytic on the unit disc . The integral operator is defined by , . The problem considere…

math.CA2022

Riesz and Green energy on projective spaces

Austin Anderson, Maria Dostert, Peter J. Grabner +2

In this paper we study Riesz, Green and logarithmic energy on two-point homogeneous spaces. More precisely we consider the real, the complex, the quaternionic and the Cayley projec…

math.CA2021★ 1 cited

Polarization and covering on sets of low smoothness

A. Anderson, A. Reznikov, O. Vlasiuk +1

In this paper we study the asymptotic properties of point configurations that achieve optimal covering of sets lacking smoothness. Our results include the proofs of the existence o…

math.CA2020

Minimal Riesz energy on balanced fractal sets

Austin Anderson, Alexander Reznikov

We investigate the asymptotic behavior of minimal -point Riesz -energy on fractal sets of non-integer dimension, with algebraically dependent contraction ratios. For bigg…