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We address the question of describing the membership to Schatten-Von Neumannideals $\mathcal{S}_ p$ of integration operators $(T_ gf)(z)=\int_{0}^{z}f(\zeta)\,g'(\zeta)\,d\zeta$ 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 Toeplitzoperators.

Schatten classes of integration operators on Dirichlet spaces