Non-cyclicity and polynomials in Dirichlet-type spaces of the unit ball

DOI10.1112/blms.13176MaRDI QIDQ6658752

Unnamed Author, Konstantinos Zarvalis

Publication date: 8 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

zeroscyclic vectorsDirichlet-type spaces of the unit ballpolynomials in \(\mathbb C^n\)

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Zero sets of holomorphic functions of several complex variables (32A60) Cyclic vectors, hypercyclic and chaotic operators (47A16) Polynomials and rational functions of several complex variables (32A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Drury-Arveson space on the Siegel upper half-space and a von Neumann type inequality
• Capacity distortion by inner functions in the unit ball of \(\mathbb{C}^n\)
• A note on cyclic polynomials in polydiscs
• Nonlinear potential theory on the ball, with applications to exceptional and boundary interpolation sets
• A note on Dirichlet-type spaces and cyclic vectors in the unit ball of \(\mathbb C^2\)
• Cyclic vectors, outer functions and Mahler measure in two variables
• Cyclic polynomials in anisotropic Dirichlet spaces
• Holomorphic function theory in several variables. An introduction. Transl. from the French
• On two problems concerning linear transformations in Hilbert space
• Hankel operators, invariant subspaces, and cyclic vectors in the Drury-Arveson space
• Cyclic polynomials in two variables
• Cyclic Vectors in the Dirichlet Space
• Spaces of Holomorphic Functions in the Unit Ball
• Optimal approximants and orthogonal polynomials in several variables
• Optimal approximants and orthogonal polynomials in several variables II: Families of polynomials in the unit ball
• A long and winding road to definable sets
• A Primer on the Dirichlet Space
• A note on cyclic vectors in Dirichlet-type spaces in the unit ball of
• Cyclic polynomials in Dirichlet-type spaces in the unit ball of \(\mathbb{C}^2\)
• Cyclicity in the Drury-Arveson space and other weighted Besov spaces
• An invitation to the Drury-Arveson space

This page was built for publication: Non-cyclicity and polynomials in Dirichlet-type spaces of the unit ball