Weighted integrability of the Cherednik-Opdam transform in terms of the moduli of smoothness.
Autor: | Ouadih, Salah El |
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Zdroj: | Analysis & Mathematical Physics; Jun2024, Vol. 14 Issue 3, p1-13, 13p |
Abstrakt: | In this paper, we give sufficient conditions for functions defined on the space L p (R , d μ) , 1 < p ≤ 2 , providing the weighted integrability of their Cherednik-Opdam transforms. These results generalize a famous Titchmarsh’s theorem and Younis’ theorem for functions from Lipschitz classes. [ABSTRACT FROM AUTHOR] |
Databáze: | Complementary Index |
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