Schatten class of integration operators on Dirichlet spaces

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Title:	Schatten class of integration operators on Dirichlet spaces
Author:	Pau, Jordi; Peláez, José Ángel
Other authors:	Universitat de Barcelona
Abstract:	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].
Subject(s):	-Funcions de variables complexes -Funcions analítiques -Teoria d'operadors -Operadors lineals -Functions of complex variables -Analytic functions -Operator theory -Linear operators
Rights:	(c) Springer, 2013
Document type:	Article Article - Accepted version
Published by:	Springer
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