FREDHOLM THEORY FOR A CLASS OF SINGULAR INTEGRAL-OPERATORS WITH CARLEMAN SHIFT AND UNBOUNDED COEFFICIENTS

被引：8

作者：

KRAVCHENKO, VG ^{[1
]}

LEBRE, AB ^{[1
]}

LITVINCHUK, GS ^{[1
]}

TEIXEIRA, FS ^{[1
]}

机构：

[1] Univ Tecn Lisboa, DEPT MATEMAT, INST SUPER TECN, P-1096 LISBON, PORTUGAL

来源：

MATHEMATISCHE NACHRICHTEN | 1995年 / 172卷

关键词：

D O I：

10.1002/mana.19951720115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A criterion for the Fredholmness of singular integral operators with Carleman shift in L(p)(GAMMA) is obtained, where GAMMA is either the unit circle or the real line. The approach allows to consider unbounded coefficients in a class related to that of quasicontinuous functions. Applications to Wiener-Hopf-Hankel type operators and operators with linear fractional Carleman shift on R are included.

引用

页码：199 / 210

页数：12