Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces

DOI10.1007/s00605-018-1251-2zbMath1417.30052OpenAlexW2906912664WikidataQ128647290 ScholiaQ128647290MaRDI QIDQ667556

Morten Nielsen, Athanasios G. Georgiadis, Galatia Cleanthous

Publication date: 28 February 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-018-1251-2

zbMATH Keywords

Fourier multipliersTriebel-Lizorkin spacesHardy spacesBesov spacesmolecular decompositionHardy-Sobolev spaces

Mathematics Subject Classification ID

Boundary behavior of power series in one complex variable; over-convergence (30B30) Analytic continuation of functions of one complex variable (30B40) Hardy spaces (30H10) Besov spaces and (Q_p)-spaces (30H25)

Related Items (4)

Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms ⋮ Nonuniform sampling theorem for non-decaying signals in mixed-norm spaces \(L_{\overrightarrow{p},\frac{1}{\omega}}(\mathbb{R}^d)\) ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\) ⋮ Molecular characterizations of variable anisotropic Hardy spaces with applications to boundedness of Calderón-Zygmund operators

Cites Work

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• Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls
• Harmonic Besov and Triebel-Lizorkin spaces on the ball
• A discrete transform and decompositions of distribution spaces
• Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Bounded and compact multipliers between Bergman and Hardy spaces
• Hardy's inequality and embeddings in holomorphic Triebel-Lizorkin spaces
• Holomorphic Triebel-Lizorkin spaces
• Pseudodifferential operators with homogeneous symbols
• New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
• Atomic and molecular decompositions of anisotropic Besov spaces
• Multipliers in Hardy-Sobolev spaces
• Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces
• Lipschitz spaces of functions on the circle and the disc
• Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
• On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc
• Boundedness results for operators with singular kernels on distribution spaces
• Discrete decomposition of homogeneous mixed-norm Besov spaces
• Composition operators acting on holomorphic Sobolev spaces
• Coefficient multipliers between Bergman and Hardy spaces
• Classical Fourier Analysis
• Rational bases for spaces of holomorphic functions in the disc
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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