Sobolev type spaces associated with Bessel operators (Q1378589)

Replacing the Fourier transform on \(\mathbb{R}\) by the Hankel transform \(T\to h_\mu T\) on \((0,\infty)\), where \(\mu\in\mathbb{R}\), the authors introduce related (fractional) Sobolev spaces \(G^{s,p}_\mu\), where \(s\in\mathbb{R}\), \(1\leq p<\infty\). The paper deals with properties of these spaces parallel to the classical Sobolev spaces \(H^s_p\).