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Journal: Annales Mathematicae Silesianae

On estimates for the Bessel transform

Ahmed Abouelaz , Radouan Daher , Mohamed El Hamma

Language: EN | Published: 30-09-2013 | Abstract | pp. 59-66

Using a Bessel translation operator, we obtain a generalization of Theorem 2.2 in [3] for the Bessel transform for functions satisfying the (ψ,δ,β)-Bessel Lipschitz condition in the space L_2,α(ℝ⁺).

2013-09-30



Journal: Annales Mathematicae Silesianae

Generalization of Titchmarsh's theorem for the Bessel transform in the space L_{p,α}(ℝ_+)

Mohamed El Hamma , Radouan Daher

Language: EN | Published: 15-01-2013 | Abstract | pp. 55-59

In this paper, we prove a generalization of Titchmarsh’s theorem for the Bessel transform in the space L_p,α(ℝ⁺) for functions satisfying the (ψ,p)-Bessel Lipschitz condition.

2013-01-15