scientific article; zbMATH DE number 7332570

zbMath1461.42013MaRDI QIDQ5858420

Sara Oukili, Mohamed Sifi

Publication date: 13 April 2021

Full work available at URL: http://www.heldermann.de/JLT/JLT31/JLT311/jlt31016.htm

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riesz potentialsgeneralized Fourier transformfractional maximal functionWelland inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• The Dunkl transform
• A product formula and a convolution structure for a \(k\)-Hankel transform on \(\mathbb{R}\)
• Positivity of Dunkl's intertwining operator
• A Hardy-Littlewood maximal operator for the generalized Fourier transform on \(\mathbb{R}\)
• Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform
• Laguerre semigroup and Dunkl operators
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel

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