Linear fractional composition operators on the Dirichlet space in the unit ball

DOI10.1007/s11425-009-0035-5zbMath1187.47027OpenAlexW1983876717MaRDI QIDQ1043021

Cheng Yuan, Ze-Hua Zhou

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0035-5

zbMATH Keywords

classical Dirichlet spacelinear fractional operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) 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)

Related Items (4)

Adjoints of composition operators with linear fractional symbols on the Dirichlet space of the disk or the ball ⋮ Adjoints of linear fractional composition operators on \(S^2(\mathbb D)\) ⋮ Composition operators with monomial symbol acting on weighted Hardy spaces ⋮ Complex symmetric weighted composition operators on Dirichlet spaces and Hardy spaces in the unit ball

Cites Work

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• Adjoints of composition operators on Hilbert spaces of analytic functions
• WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) TO BLOCH TYPE SPACES ON THE UNIT BALL
• Geometric properties of linear fractional maps

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