# Singular Values of Weighted Composition Operators and Second Quantization

@article{Putinar2016SingularVO,
title={Singular Values of Weighted Composition Operators and Second Quantization},
author={Mihai Putinar and James E. Tener},
journal={International Mathematics Research Notices},
year={2016},
volume={2018},
pages={6426-6441}
}
• Published 12 December 2016
• Mathematics
• International Mathematics Research Notices
We study a semigroup of weighted composition operators on the Hardy space of the disk $H^2(\mathbb{D})$, and more generally on the Hardy space $H^2(U)$ attached to a simply connected domain $U$ with smooth boundary. Motivated by conformal field theory, we establish bounds on the singular values (approximation numbers) of these weighted composition operators. As a byproduct we obtain estimates on the singular values of the restriction operator (embedding operator) $H^2(V) \to H^2(U)$ when \$U…
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