Pommiez operator in spaces of analytic functions of several complex variables

DOI10.1007/S10958-020-05164-7zbMath1458.32007OpenAlexW3120196053MaRDI QIDQ2226887

Sergej N. Melikhov, P. A. Ivanov

Publication date: 9 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05164-7

zbMATH Keywords

commutantcyclic vectorsPommiez operatorspaces of holomorpic functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

Many-dimensional Duhamel product in the space of holomorphic functions and backward shift operators

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
• Cyclic vectors and invariant subspaces of the backward shift operator
• Commutants of the Pommiez operator
• On operators commuting with a Pommiez type operator in weighted spaces of entire functions
• Functional Shifts Induced by Right Invertible Operators
• On the orbits of analytic functions with respect to a Pommiez type operator
• Dualität in der Funktionentheorie.
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