Holomorphic Triebel-Lizorkin spaces

DOI10.1006/jfan.1997.3138zbMath0891.32004OpenAlexW2023725966MaRDI QIDQ1375929

Joan Fàbrega, Joaquin M. Ortega Aramburu

Publication date: 12 June 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3138

zbMATH Keywords

tracesholomorphic Triebel-Lizorkin spaces

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (12)

On coefficient multipliers in the spaces BMOA ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Carleson measures for weighted holomorphic Besov spaces ⋮ Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces ⋮ Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc ⋮ Carleson measures for weighted Hardy-sobolev spaces ⋮ Fractional derivatives of pointwise multipliers between holomorphic spaces ⋮ ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES ⋮ Unnamed Item ⋮ Holomorphic potentials and multipliers for Hardy-Sobolev spaces

Cites Work

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• The spaces \(L^ p\), with mixed norm
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• Estimates for derivatives of holomorphic functions in pseudoconvex domains
• Interpolation along manifolds in Hardy-Sobolev spaces
• Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection
• Extension dans des classes de Hardy de fonctions holomorphes et estimations de type Mesures de Carleson pour l'équation \(\bar\partial\)
• Traces on curves of Sobolev spaces of holomorphic functions
• Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly pseudoconvex domains
• Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
• Interpolation Between Sobolev and Between Lipschitz Spaces of Analytic Functions on Starshaped Domains
• Boundary Regularity for Harmonic Hardy-Sobolev Spaces
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Radial Divergence in BMOA

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