scholarly journals On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line

2009 ◽  
Vol 353 (1) ◽  
pp. 449-459 ◽  
Author(s):  
Vagif S. Guliyev ◽  
Yagub Y. Mammadov
Keyword(s):  
Maximal Function ◽  
Real Line ◽  
Fractional Integrals ◽  
Dunkl Operator ◽  
The Real ◽  
Fractional Maximal Function

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

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

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

Remarks on the Hardy–Littlewood maximal function

1998 ◽  
Vol 128 (1) ◽  
pp. 1-9 ◽  
Author(s):  
J. M. Aldaz
Keyword(s):  
Maximal Function ◽  
Real Line ◽  
Weak Type ◽  
Best Constant ◽  
The Real ◽  
Littlewood Maximal Function

We answer questions of A. Carbery, M. Trinidad Menárguez and F. Soria by proving, firstly, that for the centred Hardy–Littlewood maximal function on the real line, the best constant C for the weak type (1, 1) inequality is strictly larger than 3/2, and secondly, that C is strictly less than 2 (known to be the best constant in the noncentred case).

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
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