Matthew Dawson

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20172020

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3 papers · 1 filter

math.FA2019

Toeplitz operators on the domain ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols

Matthew Dawson, Gestur Olafsson, Raul Quiroga-Barranco

Let $D$ be the irreducible bounded symmetric domain of $2 \times 2$ complex matrices that satisfy $Z Z^{*} < I_{2}$ . The biholomorphism group of $D$ is realized by $U (2, 2)$ with…

math.FA2018

The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball

M. Dawson, G. Olafsson, R. Quiroga-Barranco

On the unit ball B^n we consider the weighted Bergman spaces H_λand their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of…

math.FA2017

Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains

Matthew Dawson, Raul Quiroga-Barranco

Let $D$ be an irreducible bounded symmetric domain with biholomorphism group $G$ with maximal compact subgroup $K$ . For the Toeplitz operators with $K$ -invariant symbols we provide…

Toeplitz operators on the domain {Z∈M2×2​(C)∣ZZ∗<I} with U(2)×T2-invariant symbols

The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball

Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains

Toeplitz operators on the domain ${Z \in M_{2 \times 2} (C) ∣ Z Z^{*} < I}$ with $U (2) \times T^{2}$ -invariant symbols