The spectrum of Volterra operators on Korenblum type spaces of analytic functions

DOI10.1007/s00020-019-2547-xOpenAlexW2977767816MaRDI QIDQ2331301

José Bonet

Publication date: 28 October 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/157290

zbMATH Keywords

Volterra operatorspectrumintegral operatorFréchet spacesanalytic functions(LB)-spacesKorenblum spacegrowth Banach spaces

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Entire functions of one complex variable (general theory) (30D20) Banach spaces of continuous, differentiable or analytic functions (46E15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

Linear combination of composition operators on Bergman and Korenblum spaces ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ Volterra-type operators on the minimal Möbius-invariant space ⋮ On the spectrum of isomorphisms defined on the space of smooth functions which are flat at $0$ ⋮ Unnamed Item ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Volterra operators between limits of Bergman-type weighted spaces of analytic functions

Cites Work

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• Volterra operators and semigroups in weighted Banach spaces of analytic functions
• The Cesàro operator in growth Banach spaces of analytic functions
• Spectra of generalized Cesàro operators acting on growth spaces
• Boundedness and compactness of an integral operator on a weighted space on the polydisc
• Resolvent estimates and decomposable extensions of generalized Cesàro operators
• An extension of the Nevanlinna theory
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• The Cesàro operator on Korenblum type spaces of analytic functions
• On the spectrum of the Cesàro operator on spaces of analytic functions
• Spectra of integration operators on weighted Bergman spaces
• A Volterra-type integration operator on Fock spaces
• THE SPECTRUM OF VOLTERRA OPERATORS ON WEIGHTED SPACES OF ENTIRE FUNCTIONS
• Multiplication and division by inner functions in the space of Bloch functions
• The spectrum of Volterra-type integration operators on generalized Fock spaces
• Integration operators on Bergman spaces
• Mean growth of the derivative of analytic functions bounded mean oscillation and normal functions
• Extended Cesàro operators on mixed norm spaces
• An Integral Operator on H^p
• On the size of divergence sets for the Schroedinger equation with radial data
• On the boundedness of the differentiation operator between weighted spaces of holomorphic functions
• On the isomorphism classes of weighted spaces of harmonic and holomorphic functions

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