Results 31 to 40 of about 454,230 (160)
Two results on the Dunkl maximal operator
, 2011 Some corrections made.International audienceIn this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group.
Deleaval, Luc
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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Sonine Transform Associated to the Dunkl Kernel on the Real Line
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We consider the Dunkl intertwining operator V_α and its dual ^tV_α, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δ_α and establish inversion formulas for the Dunkl Sonine ...
Fethi Soltani
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A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS
Проблемы анализа, 2022 In this paper, we give a new characterization for the Dunkl-classical orthogonal polynomials. The previous characterization has been illustrated by some examples.
Y. Habbachi, B. Bouras
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Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian
Journal of Inequalities and Applications, 2010 Let Ω be a G-invariant convex domain in ℂN including 0, where G is a complex Coxeter group associated with reduced root system R⊂ℝN. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that
Guangbin Ren, Helmuth R. Malonek
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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Fractal and Fractional, 2021 In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem.
Xiangling Meng, Yu Liu, Xiangyun Xie
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Hardy-Type Inequalities for Fractional Powers of the Dunkl–Hermite Operator
, 2018 We prove Hardy-type inequalities for a fractional Dunkl–Hermite operator, which incidentally gives Hardy inequalities for the fractional harmonic oscillator as well.
Sundaram Thangavelu +5 more
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Free boson realization of the Dunkl intertwining operator in one dimension
, 2022 The operator that intertwines between the $\mathbb{Z}_2$ - Dunkl operator and the derivative is shown to have a realization in terms of the oscillator operators in one dimension.
Vinet, Luc, Zhedanov, Alexei
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An exceptional symmetry algebra for the 3D Dirac–Dunkl operator [PDF]
, 2020 We initiate the study of an algebra of symmetries for the 3D Dirac–Dunkl operator associated with the Weyl group of the exceptional root system G 2. For this symmetry algebra,we give both an abstract definition and an explicit realisation.
Alexis Langlois-Rémillard +3 more
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The space of Dunkl monogenics associated with Z23
Nuclear Physics B, 2022 The universal Bannai–Ito algebra BI is a unital associative algebra over C generated by X,Y,Z and the relations assert that each of{X,Y}−Z,{Y,Z}−X,{Z,X}−Y commutes with X,Y,Z. Let n≥0 denote an integer.
Hau-Wen Huang
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