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

Israel Feldman, Naum Krupnik, Ilya Spitkovsky

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)68-80
Number of pages13
JournalIntegral Equations and Operator Theory
Volume24
Issue number1
DOIs
StatePublished - Jan 1 1996

Fingerprint

Cauchy Kernel
Singular Integral Operator
Norm
Essential Norm
Ellipse
Concentric
Weighted Spaces
Unit circle
Circle
Union
Upper bound
Necessary Conditions
Line
Sufficient Conditions
Operator

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

Norms of the singular integral operator with Cauchy kernel along certain contours. / Feldman, Israel; Krupnik, Naum; Spitkovsky, Ilya.

In: Integral Equations and Operator Theory, Vol. 24, No. 1, 01.01.1996, p. 68-80.

Research output: Contribution to journalArticle

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