ON GENERALIZATION OF PALEY-WIENER THEOREM FOR WEIGHTED HARDY SPACES

被引：1

作者：

Vinnitskii, B. V. ^{[1
]}

Dilnyi, V. N. ^{[2
]}

机构：

[1] Drohobych State Pedag Univ, Stryiskaya Str 3, UA-82100 Drogobych, Ukraine

[2] Ivan Franko Natl Univ Lviv, UA-82000 Lvov, Ukraine

来源：

UFA MATHEMATICAL JOURNAL | 2013年 / 5卷 / 04期

关键词：

weighted Hardy space; Paley-Wiener theorem; angular boundary values;

D O I：

10.13108/2013-5-4-30

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Hardy space H-sigma(p)(C+) in the half-plane with an exponential weight. In this space we study the analytic continuation from the boundary. In the previous works for the case p is an element of (1, 2] a result on analytic continuation from the imaginary axis was obtained, and it was a generalization of Paley-Wiener theorem. But for many applications the case p = 1 is more interesting. For this case in the paper we obtain estimates for a function satisfying certain standard conditions.

引用

页码：30 / 36

页数：7