Katherine Heller

most citedMultiplication operators on

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12 citations · 23 across the 4 of their papers we have counts for

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math.FA2022★ 7 cited

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 $1 < p < 2$ we show that an isometric composition operator is induced only by a rotation of the dis…

math.FA2022★ 3 cited

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-…

math.FA2010★ 1 cited

Compact differences of composition operators

Katherine Heller, Barbara D. MacCluer, Rachel J. Weir

When $φ$ and $ψ$ are linear-fractional self-maps of the unit ball $B_{N}$ in $C^{N}$ , $N \geq 1$ , we show that the difference $C_{φ} - C_{ψ}$ cannot be non-trivially compact on eith…