Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\).

DOI10.1016/j.jfa.2004.10.001zbMath1071.42008OpenAlexW1976508202MaRDI QIDQ1772696

Fethi Soltani

Publication date: 21 April 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.10.001

zbMATH Keywords

\(g\)-functionDunkl operator\(L^p\)-multipliers

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (9)

Dimension‐free square function estimates for Dunkl operators ⋮ Harmonic analysis associated with the one-dimensional Dunkl transform ⋮ On the boundedness of fractional maximal and Riesz potential operators associated with Kontorovich–Lebedev transform ⋮ Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces ⋮ (L_p,L_q) Boundedness of the fractional maximal operator associated with the Dunkl operator on the real line ⋮ On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line ⋮ ON LITTLEWOOD–PALEY FUNCTIONS ASSOCIATED WITH THE DUNKL OPERATOR ⋮ Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type ⋮ Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line
• Estimates for translation invariant operators in \(L^p\) spaces
• La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley's \(g\)-function associated with à singular différential opérator on \((0,\infty)\))
• Markov processes related with Dunkl operators
• The Dunkl transform
• The Calogero-Sutherland model and generalized classical polynomials
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.
• Harmonic analysis for certain representations of graded Hecke algebras
• Exact operator solution of the Calogero-Sutherland model
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2
• On the function $g^{*}_{λ}$ and the heat equation

This page was built for publication: Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\).