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

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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