The dual of the Hardy space associated with the Dunkl operators
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Publication:2111221
DOI10.1016/j.aim.2022.108810zbMath1505.42027arXiv2206.08328OpenAlexW4311328614MaRDI QIDQ2111221
Jiaxi J.-X. Jiu, Zhongkai Zh.-K. Li
Publication date: 28 December 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.08328
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Reflection groups, reflection geometries (51F15)
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- Riesz transforms characterizations of Hardy spaces \(H^1\) for the rational Dunkl setting and multidimensional Bessel operators
- Riesz transforms for Dunkl transform
- Linear and bilinear multiplier operators for the Dunkl transform
- On the theory of harmonic functions of several variables
- Riesz transform and Riesz potentials for Dunkl transform
- Calogero-Moser systems and representation theory
- Some new function spaces and their applications to harmonic analysis.
- A decomposition into atoms of distributions on spaces of homogeneous type
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- Markov processes related with Dunkl operators
- The Dunkl transform
- Lecture notes on Dunkl operators for real and complex reflection groups
- Maximal function characterizations for Hardy spaces associated with nonnegative self-adjoint operators on spaces of homogeneous type
- Reflection groups and orthogonal polynomials on the sphere
- Exact operator solution of the Calogero-Sutherland model
- Harmonic analysis associated with the one-dimensional Dunkl transform
- Positivity of Dunkl's intertwining operator
- On the representing measures of Dunkl's intertwining operator
- Dunkl-Schrödinger operators
- Hörmander's multiplier theorem for the Dunkl transform
- Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
- Hardy spaces for Dunkl-Gegenbauer expansions
- Convolution operator and maximal function for the Dunkl transform
- The Hardy space \(H^1\) in the rational Dunkl setting
- \(H^p\) spaces of several variables
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- Differential-Difference Operators Associated to Reflection Groups
- A Maximal Function Characterization of H p on the Space of Homogeneous Type
- Integral Kernels with Reflection Group Invariance
- Extensions of Hardy spaces and their use in analysis
- Singular Polynomials for Finite Reflection Groups
- On a mean value property associated with the dunkl laplacian operator and applications
- The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
- Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- Hardy spaces associated with non-negative self-adjoint operators
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
