Dunkl translation and uncentered maximal operator on the real line

DOI10.1155/2007/87808zbMath1201.42012OpenAlexW2060833120MaRDI QIDQ925433

Mohamed Sifi, Chokri Abdelkefi

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45187

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral operators (45P05) Other transforms and operators of Fourier type (43A32)

Related Items (10)

Some characterization of Herz and Herz-type Hardy spaces for the Dunkl operator ⋮ Fractional maximal commutator on Orlicz spaces for the Dunkl operator on the real line ⋮ Finite decomposition of Herz-type Hardy spaces for the Dunkl operator ⋮ On the boundedness of fractional maximal and Riesz potential operators associated with Kontorovich–Lebedev transform ⋮ Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting ⋮ Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces ⋮ A Hardy-Littlewood maximal operator for the generalized Fourier transform on \(\mathbb{R}\) ⋮ Unnamed Item ⋮ On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line ⋮ Fefferman-Stein inequalities for the \(\mathbb Z^d_2\) Dunkl maximal operator

Cites Work

• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• The Dunkl transform
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• Convolution operator and maximal function for the Dunkl transform
• A Hardy-Littlewood Maximal Inequality for Jacobi Type Hypergroups
• Differential-Difference Operators Associated to Reflection Groups
• The Littlewood-Paley Theory for Jacobi Expansions
• L ^p -multipliers for Noncompact Symmetric Spaces
• Transmutation operators associated with a dunkl type differential-difference operator on the real line and certain of their applications
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