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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 9, Pages 3–15
DOI: https://doi.org/10.26907/0021-3446-2024-9-3-15 (Mi ivm10010) 		 
Integrability and Boas type results for a generalized Fourier–Bessel transform

S. S. Volosivets

Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-9-3-15
Abstract: We obtain sufficient conditions for weighted integrability of a generalized Fourier–Bessel transform of functions from generalized integral Lipschitz classes. These conditions are analogues of the well known Moricz conditions for classical Fourier transform. Also a Boas type result connecting the behavior of a function and the smoothness of its generalized Fourier–Bessel transform is proved.
Keywords: generalized Fourier–Bessel transform, generalized Fourier–Bessel translation, weighted integrability, generalized contraction.
Received: 13.10.2023
Revised: 13.10.2023
Accepted: 26.12.2023
Document Type: Article
UDC: 517.518.362
Language: Russian
Citation: S. S. Volosivets, “Integrability and Boas type results for a generalized Fourier–Bessel transform”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9, 3–15
Citation in format AMSBIB
\Bibitem{Vol24}
\by S.~S.~Volosivets
\paper Integrability and Boas type results for a generalized Fourier--Bessel transform
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 9
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm10010}
\crossref{https://doi.org/10.26907/0021-3446-2024-9-3-15}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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