Dini Clifford Lipschitz functions for the first Hankel-Clifford transform in the space Lμ2

被引:0
作者
Mahfoud, Ayoub [1 ]
El Hamma, Mohamed [1 ]
机构
[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math & Informat, Lab Math Fondamentales & Appl, Casablanca, Morocco
关键词
First Hankel-Clifford transform; Generalized translation operator; Dini-Clifford Lipschitz condition; BESSEL TRANSFORM; (BETA;
D O I
10.1007/s41478-021-00377-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, using a generalized translation operator, we obtain an analog of Younis's theorem 5.2 in Younis (International Journal of Mathematics and Mathematical Sciences 9(2): 301-312, 1986) for the first Hankel-Clifford transform on the half line for functions satisfying the Dini-Clifford Lipschitz condition in the space L-2((0, +infinity), x(mu)), where mu >= 0.
引用
收藏
页码:909 / 918
页数:10
相关论文
共 16 条
[1]  
Abilov V. A., 2001, Russ. Math, V45, P1
[2]  
Belkina ES, 2008, RUSS MATH, V52, P1, DOI 10.3103/S1066369X0808001X
[3]  
Daher R, 2016, J MATH EXT, V10, P35
[4]   Generalized Bessel transform of (β, γ)-generalized Bessel Lipschitz functions [J].
Daher, Radouan ;
El Hamma, Mohamed .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2015, 91 (06) :85-88
[5]   Dunkl transform of (β, γ)-Dunkl Lipschitz functions [J].
Daher, Radouan ;
Boujeddaine, Mustapha ;
El Hamma, Mohamed .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2014, 90 (09) :135-137
[6]  
El Ouadih S., 2017, KONURALP J MATH, V5, P92
[7]  
Gray A., 1987, TREATISE BESSEL FUNC
[9]   On the generalized Hankel-Clifford transformation of arbitrary order [J].
Malgonde, SP ;
Bandewar, SR .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2000, 110 (03) :293-304
[10]   A class of pseudo-differential operators associated with Bessel operators [J].
Pathak, RS ;
Pandey, PK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) :736-747