[PDF][PDF] Riesz transforms for Dunkl transform

B Amri, M Sifi - Annales mathématiques Blaise Pascal, 2012 - numdam.org
Riesz transforms for Dunkl transform Page 1 ANNALES MATHÉMATIQUES BLAISE PASCAL
Bechir Amri & Mohamed Sifi Riesz transforms for Dunkl transform Volume 19, no 1 (2012), p …

The Hardy Space in the Rational Dunkl Setting

JP Anker, N Ben Salem, J Dziubański… - Constructive …, 2015 - Springer
This paper is perhaps the first attempt at a study of the Hardy space H^ 1 H 1 in the rational
Dunkl setting. Following Uchiyama's approach, we characterize H^ 1 H 1 atomically and by …

Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition

F Bouzeffour, W Jedidi - Integral Transforms and Special Functions, 2024 - Taylor & Francis
Full article: Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and
Lipschitz condition Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Weighted bilinear multiplier theorems in Dunkl setting via singular integrals

S Mukherjee, S Parui - Forum Mathematicum, 2024 - degruyter.com
The purpose of this article is to present one and two-weight inequalities for bilinear multiplier
operators in Dunkl setting with multiple Muckenhoupt weights. In order to do so, new results …

Bottom of the spectrum of the Laplacian on locally symmetric spaces

JP Anker, HW Zhang - Geometriae Dedicata, 2022 - Springer
We estimate the bottom of the L^ 2 L 2 spectrum of the Laplacian on locally symmetric
spaces in terms of the critical exponents of appropriate Poincaré series. Our main result is …

Note on Bessel functions of type AN−1

B Amri - Integral transforms and Special functions, 2014 - Taylor & Francis
Full article: Note on Bessel functions of type AN−1 Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Fractional Integrals Associated with the One-Dimensional Dunkl Operator in Generalized Lizorkin Space

F Bouzeffour - Symmetry, 2023 - mdpi.com
This paper explores the realm of fractional integral calculus in connection with the one-
dimensional Dunkl operator on the space of tempered functions and Lizorkin type space …

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

V Kumar, JE Restrepo, M Ruzhansky - Results in Mathematics, 2024 - Springer
We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform
on the deformed Hankel–Lipschitz space defined via a generalised modulus of continuity …

Advancing Fractional Riesz Derivatives through Dunkl Operators

F Bouzeffour - Mathematics, 2023 - mdpi.com
The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives,
within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a …

[PDF][PDF] Dunkl operators on Rd and uncentered maximal function

C Abdelkefi - J. Lie Theory, 2010 - heldermann-verlag.de
We consider Dunkl theory on Rd associated to a finite reflection group G. We establish first
an estimate for the Dunkl translation of the characteristic function of a closed ball with radius …