B σ-Campanato Estimates for Commutators of Calderón–Zygmund Operators

DOI10.1007/978-3-0348-0648-0_22zbMath1327.42017OpenAlexW435943354MaRDI QIDQ5261241

Katsuo Matsuoka

Publication date: 2 July 2015

Published in: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0648-0_22

zbMATH Keywords

Calderón-Zygmund operatorscommutatorsCampanato spacesMorrey spacescentral Morrey space\(\lambda\)-central mean oscillation space\(B_\sigma\)-Morrey-Campanato space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Commutators, derivations, elementary operators, etc. (47B47)

Related Items

A predual of a predual of \(B_\sigma\) and its applications to commutators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral operators on \(B_\sigma\)-Morrey-Campanato spaces
• \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels
• Some new classes of Hardy spaces
• Factorization theorems for Hardy spaces in several variables
• A note on Riesz potentials
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• Notes on singular integrals on some inhomogeneous Herz spaces
• Construction and analysis of some convolution algebras
• On convolution operators leaving \(L^{p,\lambda}\) spaces invariant
• Fractional integral operators on \boldsymbolB^p,λwith Morrey-Campanato norms
• The Campanato, Morrey and Hölder spaces on spaces of homogeneous type
• A Theory of Hardy Spaces Associated to the Herz Spaces
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Bilinear operators on Herz-type Hardy spaces
• Hardy Spaces and Beurling Algebras
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces