On the norms of singular integral operators along certain curves with intersections

Jana Galperin; Naum Krupnik

doi:10.1007/bf01191476

On the norms of singular integral operators along certain curves with intersections

Jana Galperin, Naum Krupnik

Department of Mathematics

Bar-Ilan University

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

4 Scopus citations

Abstract

It is well known [K] that the norm and essential norm of singular integral operator for contours composed by two rays depend on the angle between the rays. The goal of the paper is both to show that for the contour Γ that is an intersection of two straight lines the norm and essential norm of singular integral operator do not depend on the angle between the lines, and to calculate these norms. Some generalizations for the case when Γ is an intersection of several simple contours are also considered.

Original language	English
Pages (from-to)	10-16
Number of pages	7
Journal	Integral Equations and Operator Theory
Volume	29
Issue number	1
DOIs	https://doi.org/10.1007/bf01191476
State	Published - 1997

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On the norms of singular integral operators along certain curves with intersections

Abstract

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