A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
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Publication:6196779
DOI10.1002/mana.202300106arXiv2302.00790OpenAlexW4385494295MaRDI QIDQ6196779
Agnieszka Hejna, Jacek Dziubański
Publication date: 15 March 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.00790
singular integralsroot systemsRiesz transformscommutatorsgeneralized translationsbounded mean oscillation spacesrational Dunkl theory
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Difference operators (39A70) Orthogonal polynomials and functions associated with root systems (33C52)
Cites Work
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- Riesz transforms for Dunkl transform
- Riesz transform and Riesz potentials for Dunkl transform
- Factorization theorems for Hardy spaces in several variables
- On the compactness of operators of Hankel type
- Mean oscillation and commutators of singular integral operators
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- Positivity of Dunkl's intertwining operator
- The dual of the Hardy space associated with the Dunkl operators
- The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator
- Hörmander's multiplier theorem for the Dunkl transform
- Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
- Convolution operator and maximal function for the Dunkl transform
- Singular integrals in the rational Dunkl setting
- Differential-Difference Operators Associated to Reflection Groups
- Extensions of Hardy spaces and their use in analysis
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- Classical Fourier Analysis
- Modern Fourier Analysis
- Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
- Inequalities of John-Nirenberg type in doubling spaces
- Remarks on Dunkl translations of non-radial kernels