An extension of bilinear Hilbert transform to distributions

被引：3

作者：

Buckovska, AL

Pilipovic, S

机构：

[1] Univ Novi Sad, Fac Sci, Math Inst, YU-21000 Novi Sad, Serbia Monteneg

[2] Univ St Cyril & Methudius, Fac Elect Engn, Dept Math, Skopje 91000, Macedonia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2002年 / 13卷 / 01期

关键词：

Hilbert transform; D '(p)-type spaces;

D O I：

10.1080/10652460212891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bilinear Hilbert transform H-alpha: L-2 x L-infinity --> L-2 respectively H-alpha: L-P1 x L-P2 --> L-P is extended to D-L2' x D-Linfinity --> D-L2' , respectively, D-Lq' x D-LP2 --> D-qv', (with suitable parameters) as a hypocontinuous respectively, continuous mapping. The bilinear Hilbert transform of Schwartz distributions is defined as an irregular operation. The inversion formula is given, It is used as a product formula for appropriate pairs of distributions.

引用

页码：1 / 15

页数：15

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