A relation between Bessel and Fourier transforms and its application to the weighted inequalities. (English) Zbl 1193.26004
The main results are several interesting relations between the Fourier and Bessel integral transforms and the Riemann-Liouville integral operator.
Reviewer: Juan J. Trujillo (La Laguna)
MSC:
| 26A33 | Fractional derivatives and integrals |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
Keywords:
Fourier cosine transform; Bessel transform; Bessel function; Riemann-Liouville fractional integral; weighted norm inequalityReferences:
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