Functional calculus on \(BMO\) and related spaces
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Publication:1614764
DOI10.1006/jfan.2001.3847zbMath1007.47028OpenAlexW2021139051MaRDI QIDQ1614764
Massimo Lanza de Cristoforis, Gérard Bourdaud, Winfried Sickel
Publication date: 8 September 2002
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.2001.3847
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Functional calculus for linear operators (47A60)
Related Items (19)
Weighted compact commutator of bilinear Fourier multiplier operator ⋮ Remarks on some subspaces of BMO(\({\mathbb R}^n\)) and of bmo(\({\mathbb R}^n\)). ⋮ Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ Composition operators in generalized Morrey spaces ⋮ John-Nirenberg-\(Q\) spaces via congruent cubes ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Dual properties of Triebel-Lizorkin-type spaces and their applications ⋮ Compactness of the commutators of homogeneous singular integral operators ⋮ Weighted complete continuity for the commutator of Marcinkiewicz integral ⋮ A note on compactness of commutators for fractional integrals associated with nondoubling measures ⋮ Compactness for the commutator of the multilinear Fourier multiplier on the Morrey space ⋮ Compactness of the commutator of multilinear Fourier multiplier operator on weighted Lebesgue space ⋮ Remark on uniqueness of mild solutions to the Navier-Stokes equations ⋮ Remarks on the superposition operator problem in various function spaces ⋮ Functions of vanishing mean oscillation associated with operators and applications ⋮ A tribute to Massimo Lanza de Cristoforis ⋮ Realizations of homogeneous Sobolev spaces ⋮ Compact bilinear operators and commutators ⋮ Compactness for the commutators of singular integral operators with rough variable kernels
Cites Work
- Fonctions qui opèrent sur les espaces de Besov et de Triebel. (Functions which operate on Besov and Triebel spaces.)
- On the transformation of functions of bounded mean oscillation
- Every superposition operator mapping one Sobolev space into another is continuous
- On functions with conditions on the mean oscillation
- Degree theory of BMO. I: Compact manifolds without boundaries
- Functions of Vanishing Mean Oscillation
- Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
- Extensions of Hardy spaces and their use in analysis
- Quelles Sont Les Fonctions Qui Opèrent De Bmo Dans Bmo Ou De Bmo Dans L∞¯?
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