Fourier-Bessel Dini Lipschitz functions in the space Lα,n2

In this paper, using a generalized translation operator, we obtain an analog of Younis’s Theorem 5.2 in Younis (Int J Math Math Sci 9:301–312, 1986 ) for the generalized Fourier-Bessel transform for functions satisfying the Fourier-Bessel Dini Lipschitz condition in the space L α , n 2 .

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Bibliographic Details
Published inAfrika mathematica Vol. 28; no. 7-8; pp. 1157 - 1165
Main Authors El Ouadih, S., Daher, R.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017
Subjects
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Generalized translation operator
Singular differential operator
Generalized Fourier-Bessel transform
Primary 46L55
Secondary 44B20
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Summary:In this paper, using a generalized translation operator, we obtain an analog of Younis’s Theorem 5.2 in Younis (Int J Math Math Sci 9:301–312, 1986 ) for the generalized Fourier-Bessel transform for functions satisfying the Fourier-Bessel Dini Lipschitz condition in the space L α , n 2 .
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-017-0509-5