This article is cited in 2 papers

Splitting of some spaces of analytic functions

V. N. Dilnyi

Ivan Franko National University of L'viv, L'viv, Ukraine

Abstract: 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.

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

UDC: 517.5

MSC: 30D15, 30H10

Received: 17.03.2014

 English version: Ufa Mathematical Journal, 2014, 6:2, 25–34

Bibliographic databases:

• 
•