Results 21 to 30 of about 491,660 (153)
Lp Hardy's identities and inequalities for Dunkl operators
Advanced Nonlinear Studies, 2022 The main purpose of this article is to establish the Lp{L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space RN{{\mathbb{R}}}^{N}. We also prove Hardy’s identities and inequalities on certain domains with
Wang Jianxiong
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
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DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS [PDF]
Proceedings of the London Mathematical Society, 2003 Dunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parameterized family of deformations of the polynomial De Rham complex. This leads to the study of the polynomial ring as a module over the ‘rational Cherednik algebra’, and a natural contravariant form on this module.
Dunkl, C.F., Opdam, E.M.
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The Dunkl convolution operators and multipoint de la Vallee–Poussin problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type.
Karina Raisovna Zabirova +1 more
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Generalized Dunkl operator [PDF]
Ufimskii Matematicheskii Zhurnal, 2014 In the paper we introduce a generalized Dunkl operator acting in the space of entire functions on C. We study problems of harmonic analysis related with this operator and show its connection with the Gelfond-Leont'ev operator of generalized differentiation.
Il'mir Irshatovich Karamov +1 more
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Dunkl convolution and elliptic regularity for Dunkl operators
, 2023 We discuss in which cases the Dunkl convolution of distributions, possibly both with non-compact support, can be defined and study its analytic properties. We prove results on the (singular-)support of Dunkl convolutions.
Brennecken, Dominik
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Dunkl operators at infinity and Calogero-Moser systems [PDF]
, 2015 We define the Dunkl and Dunkl–Heckman operators in infinite number of variables and use them to construct the quantum integrals of the Calogero–Moser–Sutherland (CMS) problems at infinity.
A.N. Sergeev (7160591) +1 more
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Functional inequalities for Dunkl operators with applications [PDF]
, 2019 In this thesis we thoroughly study several families of classical functional inequalities in the setting of Dunkl operators. The following families are considered: Sobolev, Hardy, Gagliardo-Nirenberg, logarithmic Sobolev, Poincare inequalities.
Velicu, Cornel Andrei
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Semigroup and Riesz transform for the Dunkl–Schrödinger operators [PDF]
Semigroup Forum, 2020 Let $L_k=-Δ_k+V$ be the Dunk- Schrödinger operators, where $Δ_k=\sum_{j=1}^dT_j^2$ is the Dunkl Laplace operator associated to the dunkl operators $T_j$ on $\mathbb{R}^d$ and $V$ is a nonnegative potential function. In the first part of this paper we introduce the Riesz transform $R_j= T_j L_k^{-1/2}$ as an $L^2$- bounded operator and we prove that is ...
Amri, Béchir, Hammi, Amel
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Generalized Lorentz Spaces and Applications
Journal of Function Spaces and Applications, 2013 We define and study the Lorentz spaces associated with the Dunkl operators on ℝd. Furthermore, we obtain the Strichartz estimates for the Dunkl-Schrödinger equations under the generalized Lorentz norms.
Hatem Mejjaoli
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