Characterizations of a class of Dirichlet-type spaces and related operators

DOI10.1155/2020/6631047zbMath1489.46034OpenAlexW3111929853MaRDI QIDQ2228176

Xiaosong Liu, Songxiao Li

Publication date: 16 February 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/6631047

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Cites Work

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• Closed-range composition operators on Dirichlet-type spaces
• Characterizations of the Dirichlet-type space
• Interpolating sequences in harmonically weighted Dirichlet spaces
• A formula for the local Dirichlet integral
• Complete Nevanlinna-Pick property of Dirichlet-type spaces
• Multipliers and Carleson measures for \(D(\mu)\)
• Carleson measures and reproducing kernel thesis in Dirichlet-type spaces
• Carleson measures on Dirichlet-type spaces
• A Representation Theorem for Cyclic Analytic Two-Isometries
• Reproducing kernels and extremal functions in Dirichlet-type spaces

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