One-parameter semigroups of isometries into<i>H</i><sup><i>p</i></sup>
One-parameter semigroups of isometries into<i>H</i><sup><i>p</i></sup>
In this paper we explicitly describe all strongly continuous one-parameter semigroups {T t } of isometries of H P (D) into H P (D), where l^p<oo, pΦ2, and D is the unit disc \z\<l in the complex plane C. It turns out (Theorem (1.6)) that for each t, T t …