Schatten classes of integration operators on Dirichlet spaces

2013/02/11 by Jordi Pau, Pau, Jordi, José Ángel Peláez +1
Mathematics · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1302.2417

openalex publication_date 2013/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address the question of describing the membership to Schatten-Von Neumann ideals S_ p of integration operators (T_ g f)(z)=∫₀^zf(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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