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arXiv · 1302.2417

Schatten classes of integration operators on Dirichlet spaces

Jordi Pau·José Ángel Peláez
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Abstract

We address the question of describing the membership to Schatten-Von Neumann ideals $\mathcal{S}_ p$ of integration operators $(T_ g f)(z)=\int_{0}^{z}f(ζ)\,g'(ζ)\,dζ$ acting on Dirichlet type spaces. We also study this problem for multiplication, Hankel and Toeplitz operators. In particular, we provide an extension of Luecking's result on Toeplitz operators.

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Jordi Pau, José Ángel Peláez. 2013-02-11. Schatten classes of integration operators on Dirichlet spaces. https://arxiv.org/abs/1302.2417

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