Regularity properties of commutators and \(BMO\)-Triebel-Lizorkin spaces

DOI10.5802/aif.1474zbMath0827.46030OpenAlexW1970736770MaRDI QIDQ1893887

Abdellah Youssfi

Publication date: 12 July 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_3_795_0

zbMATH Keywords

regularityBesov spaceRiesz transformscommutatorsSobolov spaceBMO-Sobolev spaceBMO-Triebel- Lizorkin space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Commutators, derivations, elementary operators, etc. (47B47) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (6)

The commutators of fractional integrals on Besov spaces ⋮ Quantitative weighted bounds for Calderón commutators with rough kernels ⋮ Generalized Carleson measure spaces and their applications ⋮ On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\) ⋮ Necessary and sufficient conditions for the bounds of the commutators with fractional differentiations and BMO-Sobolev spaces on weighted Lebesgue space ⋮ Duals of homogeneous weighted sequence Besov spaces and applications

Cites Work

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• Factorization theorems for Hardy spaces in several variables
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• Compensated compactness and Hardy spaces
• Localisation des espaces de Lizorkin‐Triebel homogènes
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

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