4 papers
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…
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…
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…
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…