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PROPERTIES OF THE GENERALIZED DUNKL OPERATOR [PDF]

Вестник Башкирского университета, 2018
A. I. Rakhimova, V. V. Napalkov
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Dunkl Processes and Intertwining Operators

Dunkl Processes and Intertwining Operators
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The Dunkl intertwining operator [PDF]

Journal of Functional Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mostafa Maslouhi
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Boundedness of the Dunkl–Hausdorff operator in Lebesgue spaces

Rocky Mountain Journal of Mathematics, 2021
In this paper, the authors characterized the \(L^{p}_{\nu}(\mathbb{R})\)-boundedness of the so-called Dunkl-Hausdorff operator, i.e. \[ H_{\alpha, \phi}f(x)=\int_{\mathbb{R}}\frac{|\phi(t)|}{|t|^{2\alpha+2}} f\left(\frac{x}{t}\right)\, \mathrm{d}t, \] where the weight is given by \(\nu(x)=|x|^{2\alpha+1}\) and ...
Alberto Fiorenza, Sandhya Jain
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On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line [PDF]

Journal of Mathematical Analysis and Applications, 2009
In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the Dunkl-type fractional maximal operator Mβ, and the Dunkl-type fractional integral operator Iβ from the spaces Lp,α(R) to the spaces Lq,α(R ...
Vagif S Guliyev
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On the Dunkl intertwining operator

Journal of Mathematical Analysis and Applications, 2017
Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generalizes the algebra of standard differential operators and intertwines with this latter by the so-called intertwining operator.
Mostafa Maslouhi
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On the representing measures of Dunkl’s intertwining operator

Journal of Approximation Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiaxi Jiu, Zhongkai Li
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Fefferman–Stein inequalities for the Z2d Dunkl maximal operator [PDF]

Journal of Mathematical Analysis and Applications, 2009
In this article, we establish the Fefferman–Stein inequalities for the Dunkl maximal operator associated with a finite reflection group generated by the sign changes.
Luc Deléaval
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