Norms of the singular integral operator with Cauchy kernel along certain contours

被引：12

作者：

Feldman, I

Krupnik, N

Spitkovsky, I

机构：

[1] BAR ILAN UNIV,DEPT MATH & COMP SCI,IL-52900 RAMAT GAN,ISRAEL

[2] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1996年 / 24卷 / 01期

关键词：

D O I：

10.1007/BF01195485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The norm of the above-mentioned operator S is computed on the unions of parallel lines or concentric circles. The upper bound is found for its norm on the ellipse, In case of weighted spaces on the unit circle, the exact norm is found for some rational weights, and necessary and sufficient conditions on the weight are established, under which the essential norm of S equals 1.

引用

页码：68 / 80

页数：13

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