Bounded cyclic functions in the ball

DOI10.1007/s10958-005-0334-5zbMath1145.32302OpenAlexW2031766534MaRDI QIDQ937886

Evgueni Doubtsov

Publication date: 18 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10958-005-0334-5

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Pluriharmonic and plurisubharmonic functions (31C10) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) 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)

Cites Work

• A Beurling-type theorem
• Weakly outer inner functions
• Cyclic inner functions in the Bergman spaces and weak outer functions in \(H^ p\), \(0<p<1\)
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