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Schatten class of integration operators on Dirichlet spaces

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We address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integration operators $(T_{g} f)(z)= \int_0^z f(\zeta)g'(\zeta)d \zeta$ 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 Toeplitz operators [10, p. 347].

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Schatten class of integration operators on Dirichlet spaces