Generalized Hilbert operators

2012/09/04 by Πέτρος Γαλανόπουλος, Petros Galanopoulos, Daniel Girela +3 · 2 citations
Chemistry · Mathematics · #Algebraic and Geometric Analysis #Analytic function #Boundary value problem #Bounded function #Chemistry #Compact operator #Compact operator on Hilbert space #Dirichlet distribution #Hardy space #Hilbert space #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Operator (biology) #Operator theory #Pure mathematics #math.CV #math.FA #msc:30H10 #msc:47B35

paper · pdf · doi:10.5186/aasfm.2014.3912

published as Ann. Acad. Sci. Fenn. Math. 2014

arxiv created 2012/09/04 · openalex publication_date 2014/02/01 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

If g is an analytic function in the unit disc D, we consider the generalized Hilbert operator H g defined by

Cited by

• Superposition operators, Hardy spaces, and Dirichlet type spaces
• A Hankel Matrix Acting on Spaces of Analytic Functions

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• Real Analytic Generalized Functions
• Hilbert Space of Complex-Valued Harmonic Functions in the Unit Disc
• Generalized Hilbert matrix operators acting on Bergman spaces
• Hilbert Space of Complex-Valued Harmonic Functions in the Unit Disc
• Generalized Hilbert Operator Acting on Hardy Spaces