The Dirichlet Space and Related Function Spaces

DOI10.1090/SURV/239zbMath1450.30002OpenAlexW3015359947MaRDI QIDQ5239100

Nicola Arcozzi, Richard Rochberg, Brett D. Wick, Eric T. Sawyer

Publication date: 21 October 2019

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/239

zbMATH Keywords

Besov spaceCarleson measuresDirichlet spaceshift operatorreproducing kernel Hilbert spacemultiplier algebrainterpolating sequencesDrury-Arveson space

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Research exposition (monographs, survey articles) pertaining to potential theory (31-02) Functional analysis (46-XX)

Related Items (7)

Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ \(D_K\) spaces and Carleson measures ⋮ Extremal functions and invariant subspaces in Dirichlet spaces ⋮ Two-weight dyadic Hardy inequalities ⋮ Integral criteria for weighted Bloch functions ⋮ Embedding dimension of the Dirichlet space ⋮ Partial Taylor sums on local Dirichlet spaces

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