A type of Volterra operator
نویسنده
چکیده
For p ≥ 1, taking the p-th root of this sup yields a norm and with this norm H(D) is a Banach space. When p = 2, this is Hilbert space and identifying the Taylor coefficients of such an f with a sequence we obtain an isometry from H(D) onto the classical sequence space l. In addition, there is a natural identification of functions in H(D) with functions in a closed subspace of L(T) by way of the non-tangential limits of functions f in H(D) at points of T, and it shall be clear in our discussion whether we are dealing with points in D or with points in T. See [1] for more details.
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