An analog of Titchmarsh's theorem for the Bessel transform in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+})

Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+}), where \alpha>-\frac{1}{2} and 1

An analog of Titchmarsh's theorem for the Bessel transform in the space \mathrm{L}_{p,\alpha}(\mathbb{R}_{+}) Keywords:

Bessel operator , Bessel transform , Bessel generalized translation