Weighted integrability of the Cherednik-Opdam transform in terms of the moduli of smoothness.

Autor: Ouadih, Salah El
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