M. Sifi

activity

20112020

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3 papers · 1 filter

math.CA2020

A New Product Formula Involving Bessel Functions

Mohamed Amine Boubatra, Selma Negzaoui, Mohamed Sifi

In this paper, we consider the normalized Bessel function of index $α > - \frac{1}{2}$ , we find an integral representation of the term $x^{n} j_{α + n} (x) j_{α} (y)$ . This allows us to establ…

math.CA2020

Relative Nash-type and $L^{2}$ -Sobolev inequalities for Dunkl operators and applications

S. Mustapha, M. Sifi

We investigate local variants of Nash inequalities in the context of Dunkl operators. Pseudo-Poincaré inequalities are first established using pointwise gradient estimates of the D…

math.CA2011

Riesz transforms for Dunkl transform

Béchir Amri, Mohamed Sifi

In this paper we obtain the $L^{p}$ -boundedness of Riesz transforms for Dunkl transform for all $1 < p < \infty$ .

A New Product Formula Involving Bessel Functions

Relative Nash-type and L2-Sobolev inequalities for Dunkl operators and applications

Riesz transforms for Dunkl transform

Relative Nash-type and $L^{2}$ -Sobolev inequalities for Dunkl operators and applications