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

Israel Feldman; Naum Krupnik; Ilya Spitkovsky

doi:10.1007/BF01195485

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

Israel Feldman, Naum Krupnik, Ilya Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	68-80
Number of pages	13
Journal	Integral Equations and Operator Theory
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/BF01195485
State	Published - 1996

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01195485

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abstract = "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.",

author = "Israel Feldman and Naum Krupnik and Ilya Spitkovsky",

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

Abstract

ASJC Scopus subject areas

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