Toeplitz operators with pluriharmonic symbol on the unit ball

DOI10.1016/j.bulsci.2019.01.006zbMath1464.47019OpenAlexW2909637249WikidataQ128628016 ScholiaQ128628016MaRDI QIDQ1729295

Sebastian Langendörfer, Jörg Eschmeier

Publication date: 27 February 2019

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2019.01.006

zbMATH Keywords

Toeplitz operatorspluriharmonic symbolsanalytic Besov-Sobolev spaces

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Besov spaces and (Q_p)-spaces (30H25)

Related Items

Jörg Eschmeier's mathematical work, Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs, Multi-Toeplitz operators and free pluriharmonic functions

Cites Work

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• Toeplitz operators with BMO symbols on holomorphic Besov spaces
• Toeplitz operators in several complex variables
• Function theory of several variables
• Bergman inner functions and \(m\)-hypercontractions
• Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules]
• Density of algebras generated by Toeplitz operators on Bergman spaces
• Toeplitz operators on Arveson and Dirichlet spaces
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Characterizations of Bergman space Toeplitz operators with harmonic symbols
• Commuting Toeplitz operators with pluriharmonic symbols
• Multipliers and essential norm on the Drury-Arveson space
• Operator identities for standard weighted Bergman shift and Toeplitz operators