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The Dirichlet space - MaRDI portal

The Dirichlet space (Q6613346)

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scientific article; zbMATH DE number 7921180

Language	Label	Description	Also known as
English	The Dirichlet space	scientific article; zbMATH DE number 7921180

Statements

scholarly article

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The Dirichlet space (English)

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Thomas J. Ransford

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publication date

2 October 2024

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zbMATH Keywords

Dirichlet space

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zero sets

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boundary behavior

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interpolation

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MaRDI profile type

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The Smirnov class for spaces with the complete Pick property

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The uniqueness of the Dirichlet space among Möbius-invariant Hilbert spaces

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Carleson measures for analytic Besov spaces.

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The Dirichlet space: a survey

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The Dirichlet Space and Related Function Spaces

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Cyclicity in Dirichlet-type spaces and extremal polynomials

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Ensembles exceptionnels

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On two problems concerning linear transformations in Hilbert space

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An interpolation theorem for Hilbert spaces with Nevanlinna-Pick kernel

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Some Examples of Cyclic Vectors in the Dirichlet Space

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Cyclic Vectors in the Dirichlet Space

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Sets of uniqueness for functions regular in the unit circle

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A representation formula for the Dirichlet integral

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Interpolations by bounded analytic functions and the corona problem

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Zeros of Analytic Functions with Infinitely Differentiable Boundary Values

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Carleson measures on Dirichlet-type spaces

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On a Sharp Inequality Concerning the Dirichlet Integral

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Solution of the problem of Plateau.

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Kernel and capacity estimates in Dirichlet spaces

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A Primer on the Dirichlet Space

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On the Brown-Shields conjecture for cyclicity in the Dirichlet space

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Level sets and composition operators on the Dirichlet space

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A survey on reverse Carleson measures

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Exceptional sets and Hilbert--Schmidt composition operators.

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Fine boundary behavior and invariant subspaces of harmonically weighted Dirichlet spaces

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Imbedding theorems of Sobolev type in potential theory.

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Invariant subspaces in Banach spaces of analytic functions

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Factorization in weak products of complete Pick spaces

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Cyclic polynomials in anisotropic Dirichlet spaces

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Compact composition operators on the Dirichlet space and capacity of sets of contact points

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Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces

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Cesàro summability of Taylor series in weighted Dirichlet spaces

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A Gleason-Kahane-Żelazko theorem for the Dirichlet space

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Hadamard multipliers on weighted Dirichlet spaces

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Tangential boundary behavior of functions in Dirichlet-type spaces

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A Representation Theorem for Cyclic Analytic Two-Isometries

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Bounded analytic functions in the Dirichlet space

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A formula for the local Dirichlet integral

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Local Dirichlet spaces as de Branges-Rovnyak spaces

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On the zeros of functions with finite Dirichlet integral and some related function spaces

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Complete Nevanlinna-Pick property of Dirichlet-type spaces

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Multipliers of the Dirichlet space

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Ideals in Rings of Analytic Functions with Smooth Boundary Values

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A corona theorem for multipliers on Dirichlet space

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TANGENTIAL BOUNDARY BEHAVIOUR OF HARMONIC AND HOLOMORPHIC FUNCTIONS

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SUFFICIENT CONDITIONS FOR WEIGHTED ADMISSIBILITY OF OPERATORS WITH APPLICATIONS TO CARLESON MEASURES AND MULTIPLIERS

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The \(\overline{\partial}\)-problem for multipliers of the Sobolev space

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Identifiers

zbMATH Open document ID

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10.1007/978-3-031-33572-3_2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6613346

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