Splitting of some spaces of analytic functions

V. N. Dilnyi

Ufa mathematical journal, Tome 6 (2014) no. 2, pp. 25-34

Résumé

For the Paley–Wiener space and the weighted Hardy spaces in the halfplane we consider problems on splitting a function into a sum of two, each being “large” only in their domain. For the first space the problem is solved completely, for the second we obtain sufficient conditions of solvability.

Détail

Keywords: weighted Hardy space, Paley–Wiener theorem, angular boundary values, splitting.

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