12 citations · 32 across the 7 of their papers we have counts for
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Composition-differentiation operators on
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate composition-differentiation operators acting on the space , the space of analytic functions on the open unit disk whose first derivative is in . Specifical…
Compact differences of composition operators on weighted Dirichlet spaces
Robert F. Allen, Katherine Heller, Matthew A. Pons
Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition oper…
Isometric composition operators on the analytic Besov spaces
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate the isometric composition operators on the analytic Besov spaces. For we show that an isometric composition operator is induced only by a rotation of the dis…
Composition-differentiation operators on the Dirichlet space
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate composition-differentiation operators acting on the Dirichlet space of the unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-…
Compact differences of composition operators
Katherine Heller, Barbara D. MacCluer, Rachel J. Weir
When and are linear-fractional self-maps of the unit ball in , , we show that the difference cannot be non-trivially compact on eith…