scholarly journals Besov-type spaces for the Dunkl operator on the real line

2007 ◽  
Vol 199 (1) ◽  
pp. 56-67 ◽  
Author(s):  
Lotfi Kamoun
Keyword(s):  
Real Line ◽  
Dunkl Operator ◽  
The Real ◽  
Type Spaces ◽  
Besov Type Spaces

scholarly journals Besov-type spaces for the κ-Hankel wavelet transform on the real line

2021 ◽  
Vol 8 (1) ◽  
pp. 114-124
Author(s):  
Ashish Pathak ◽  
Shrish Pandey
Keyword(s):  
Wavelet Transform ◽  
Real Line ◽  
Wavelet Coefficients ◽  
The Real ◽  
Type Spaces ◽  
Besov Type Spaces

Abstract In this paper, we shall introduce functions spaces as subspaces of Lp κ (ℝ) that we call Besov-κ-Hankel spaces and extend the concept of κ-Hankel wavelet transform in Lp κ(ℝ) space. Subsequently we will characterize the Besov-κ-Hankel space by using κ-Hankel wavelet coefficients.

Sonine-type integral transforms related to the Dunkl operator on the real line

2009 ◽  
Vol 20 (12) ◽  
pp. 915-924 ◽  
Author(s):  
Mohamed Ali Mourou
Keyword(s):  
Real Line ◽  
Integral Transforms ◽  
Dunkl Operator ◽  
The Real ◽  
Type Integral

scholarly journals Fractional maximal commutator on Orlicz spaces for the Dunkl operator on the real line

2020 ◽  
Vol 4 (4) ◽  
pp. 130-144
Author(s):  
Yagub Y. Mammadov - Fatma A. Muslumova - Zaman V. Safarov
Keyword(s):  
Real Line ◽  
Orlicz Spaces ◽  
Dunkl Operator ◽  
The Real

scholarly journals Dunkl Translation and Uncentered Maximal Operator on the Real Line

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Chokri Abdelkefi ◽  
Mohamed Sifi
Keyword(s):  
Characteristic Function ◽  
Real Line ◽  
Maximal Operator ◽  
Weak Type ◽  
Dunkl Operator ◽  
The Real

We establish estimates of the Dunkl translation of the characteristic functionχ[−ɛ,ɛ],ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type(1,1). As a consequence, we obtain theLp-boundedness of this operator for1<p≤+∞.

Pompeiu-type theorem associated with the Dunkl operator on the real line

2005 ◽  
Vol 16 (4) ◽  
pp. 301-314 ◽  
Author(s):  
A. El Garna ◽  
B. Selmi
Keyword(s):  
Real Line ◽  
Type Theorem ◽  
Dunkl Operator ◽  
The Real

scholarly journals Lp-Fourier multipliers for the Dunkl operator on the real line

2004 ◽  
Vol 209 (1) ◽  
pp. 16-35 ◽  
Author(s):  
Fethi Soltani
Keyword(s):  
Real Line ◽  
Fourier Multipliers ◽  
Dunkl Operator ◽  
The Real

scholarly journals Equivalence of <i>K</i>-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line

2015 ◽  
Vol 05 (06) ◽  
pp. 367-376
Author(s):  
Reem Fahad Al Subaie ◽  
Mohamed Ali Mourou
Keyword(s):  
Real Line ◽  
Modulus Of Smoothness ◽  
Dunkl Operator ◽  
The Real
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