A seminorm-only characterization of analytic Besov spaces on the disc

Maher Boudabra

We introduce the space ${\mathcal{W}}^{s,p}(\mathbb{D})$ of analytic functions $u$ on the unit disc such that the radial restrictions $u_r(\hat{I}¾):=u(r\hat{I}¾)$ satisfy the Gagliardo semino…