Details van artikel 259 van 269 gevonden artikelen
Topological vector spaces of analytic functions
Titel:
Topological vector spaces of analytic functions
Auteur:
Zayed, Ahmed I.
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 2 (1983) nr. 1 pagina's 27-50
Jaar:
1983-07
Inhoud:
In a recent paper we introduced a space of analytic functions in the unit disc called H(1) which is the union of some spaces [image omitted] . We also showed that if [image omitted] , then f(z) can be recaptured from the restriction of its distributional boundary values to an open arc of the unit circle. In this article we shall develop some of the properties of the spaces H(α) that we used in our earlier paper. However, this will be done in a more general form. In fact, for any smooth, positive, concave subadditive function ω(x) on [0, ∞) with ω(x) = 0(x) as x → ∞, we shall construct a Frechet space H(ω(x)) of analytic functions in the unit disc. Different characterizations, the multipliers and the dual spaces of H(ω) will be studied. As a special case if ω(x) = xα (0 < α < 1), we obtain the space H(α).
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 259 van 269 gevonden artikelen
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