A. Wynn

most citedComposition operators on weighted Bergman spaces of a half plane

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math.FA2009★ 1 cited

Composition operators on weighted Bergman spaces of a half plane

Sam Elliott, Andrew Wynn

We use induction and interpolation techniques to prove that a composition operator induced by a map $ϕ$ is bounded on the weighted Bergman space $\A^2_α(\mathbb{H})$ of the right h…

math.FA2009

$α$ -admissibility of the right-shift semigroup on $L^{2} (R_{+})$

Andrew Wynn

It is shown that the right shift semigroup on $L^{2} (R_{+})$ does not satisfy the weighted Weiss conjecture for $α \in (0, 1)$ . In other words, $α$ -admissibility of scalar value…

math.FA2009★ 1 cited

Counterexamples to the discrete and continuous weighted Weiss conjectures

Andrew Wynn

Counterexamples are presented to weighted forms of the Weiss conjecture in discrete and continuous time. In particular, for certain ranges of $α$ , operators are constructed that sa…

Composition operators on weighted Bergman spaces of a half plane

α-admissibility of the right-shift semigroup on L2(R+​)

Counterexamples to the discrete and continuous weighted Weiss conjectures

$α$ -admissibility of the right-shift semigroup on $L^{2} (R_{+})$