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arXiv · 1509.07063

Separately Radial and Radial Toeplitz Operators on the Unit Ball and Representation Theory

Raul Quiroga-Barranco
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Abstract

We study Toeplitz operators with separately radial and radial symbols on the weighted Bergman spaces on the unit ball. The unitary equivalence of such operators with multiplication operators on $\ell^2$ spaces was previously obtained by analytic methods elsewhere (see the references). We prove that the same constructions can be performed with a purely representation theoretic approach to obtain the same conclusions and formulas. However, our method is shorter, more elementary and more elucidating.

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Raul Quiroga-Barranco. 2015-09-23. Separately Radial and Radial Toeplitz Operators on the Unit Ball and Representation Theory. https://arxiv.org/abs/1509.07063

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