The finite Hilbert transform in weighted spaces

被引：5

作者：

Astala, K ^{[1
]}

Paivarinta, L ^{[1
]}

Saksman, E ^{[1
]}

机构：

[1] UNIV OULU,DEPT MATH SCI,FIN-90570 OULU,FINLAND

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1996年 / 126卷

关键词：

D O I：

10.1017/S0308210500023337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mapping properties of the finite Hilbert-transform (respectively the Hilbert transform on the half axis) are studied. Invertibility, surjectivity, injectivity and boundedness from below of the transform are characterised in general weighted spaces. The results are applied to the restriction of the operator with logarithmic kernel.

引用

页码：1157 / 1167

页数：11

共 11 条

[1]

[Anonymous], 1986, GLASGOW MATH J

[2]

[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury

[3]

CARLEMANN T, 1992, ARK MAT ASTRO FYSIK, V16

[4]

DeFrancia J.L.R., 1985, WEIGHTED NORM INEQUA