Decomposition theorems and conjugate pair in \(D_K\) spaces

DOI10.1007/S10114-014-3245-XzbMath1296.30063OpenAlexW2011331754MaRDI QIDQ741229

Jizhen Zhou, Yu Tian Wu

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3245-x

zbMATH Keywords

decomposition theoremsspaces of analytic functions on the disc

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Spaces and algebras of analytic functions of one complex variable (30H99) Bergman spaces and Fock spaces (30H20) Besov spaces and (Q_p)-spaces (30H25)

Related Items (4)

Inner functions as multipliers and zero sets in weighted Dirichlet spaces ⋮ \(Q_k\) spaces on the unit circle ⋮ Interpolating sequence for multipliers of \(D_{\log}\) space ⋮ Inner function in Dirichlet type spaces

Cites Work

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• Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces
• The higher order derivatives of \(Q_{K}\) type spaces
• \(Q_K\) spaces via higher order derivatives
• A decomposition theorem for BMO and applications
• A geometric condition which implies BMOA
• Interpolation by functions in Bergman spaces
• Interpolation by Bloch functions
• A new characterization of Dirichlet type spaces and applications
• On analytic and meromorphic functions and spaces of \(Q_K\)-type
• Decomposition theorems for \(\mathcal Q_p\) spaces
• An image-area inequality for some planar holomorphic maps
• Decomposition theorems for Q_K spaces and applications
• ON SUBSPACES AND SUBSETS OF BMOA AND UBC
• Holomorphic \(Q\) classes

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