Analogues of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weight functions that are invariant under a reflection group. The Lp boundedness of these operators is established in certain cases
In this paper, we give a generalization of Hardy’s theorems for the Dunkl transformFD on Rd. More pr...
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy...
summary:The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstei...
AbstractIn this article, we present a survey of some new results obtained in [2,8]. First, we give a...
In this article, we present a survey of some new results obtained in [2,8]. First, we give a geometr...
For a family of weight functions $h_k$ invariant under a finite reflection group on $R^d$, analysis ...
For a family of weight functions hK invariant under a finite reflection group on Rd, analysis relate...
The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized w...
AbstractFor a family of weight functions invariant under a finite reflection group, we show how weig...
Abstract. The aim of this paper is to extend the study of Riesz transforms asso-ciated to the Dunkl ...
For a root system R on R d and a nonnegative multiplicity function k on R, we consider the heat kern...
For a root system R on R d and a nonnegative multiplicity function k on R, we consider the heat kern...
Abstract. In this paper, using a generalized Dunkl translation operator, we obtain a gener-alization...
In this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Ries...
Using a generalized spherical mean operator, we obtain a generalizationof two theorems 84 and 85 of ...
In this paper, we give a generalization of Hardy’s theorems for the Dunkl transformFD on Rd. More pr...
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy...
summary:The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstei...
AbstractIn this article, we present a survey of some new results obtained in [2,8]. First, we give a...
In this article, we present a survey of some new results obtained in [2,8]. First, we give a geometr...
For a family of weight functions $h_k$ invariant under a finite reflection group on $R^d$, analysis ...
For a family of weight functions hK invariant under a finite reflection group on Rd, analysis relate...
The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized w...
AbstractFor a family of weight functions invariant under a finite reflection group, we show how weig...
Abstract. The aim of this paper is to extend the study of Riesz transforms asso-ciated to the Dunkl ...
For a root system R on R d and a nonnegative multiplicity function k on R, we consider the heat kern...
For a root system R on R d and a nonnegative multiplicity function k on R, we consider the heat kern...
Abstract. In this paper, using a generalized Dunkl translation operator, we obtain a gener-alization...
In this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Ries...
Using a generalized spherical mean operator, we obtain a generalizationof two theorems 84 and 85 of ...
In this paper, we give a generalization of Hardy’s theorems for the Dunkl transformFD on Rd. More pr...
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy...
summary:The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstei...
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