Atomic decomposition and weak factorization for Bergman–Orlicz spaces

DOI10.4064/cm7597-3-2019zbMath1444.32005arXiv1805.03754OpenAlexW3013734651MaRDI QIDQ5126644

David Bekollé, Aline Bonami, Edgar Tchoundja

Publication date: 20 October 2020

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03754

zbMATH Keywords

atomic decompositionHankel operatorBergman-Orlicz spacesweak factorization

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

Avatars of Stein's theorem in the complex setting ⋮ Weak factorization and Hankel forms for Bergman-Orlicz spaces on the unit ball ⋮ Toeplitz operators between Bergman-Orlicz spaces ⋮ Carleson embeddings with loss for Bergman–Orlicz spaces of the unit ball

Cites Work

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• On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces
• Composition operators on weighted Bergman-Orlicz spaces on the ball
• Carleson measure theorems for large Hardy-Orlicz and Bergman-Orlicz spaces
• Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball
• Duality for large Bergman-Orlicz spaces and Hankel operators between Bergman-Orlicz spaces on the unit ball
• Hankel operators and weak factorization for Hardy–Orlicz spaces
• Composition operators on Hardy-Orlicz spaces

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