On the norms of singular integral operators on contours with intersections

Naum Krupnik; Ilya M. Spitkovsky

doi:10.1007/s11785-008-0069-7

On the norms of singular integral operators on contours with intersections

Naum Krupnik, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article

Abstract

The exact bounds are obtained for the norm of the singular integral operator S on the family of rays originating at the same point. These bounds, with the use of the localization technique, are then extended to the essential norm of S on piecewise smooth curves with finitely many points of self intersection.

Original language	English (US)
Pages (from-to)	617-626
Number of pages	10
Journal	Complex Analysis and Operator Theory
Volume	2
Issue number	4
DOIs	https://doi.org/10.1007/s11785-008-0069-7
State	Published - Dec 2008

Keywords

Matrix symbol
Norm
Singular integral operator

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-008-0069-7

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Krupnik, N., & Spitkovsky, I. M. (2008). On the norms of singular integral operators on contours with intersections. Complex Analysis and Operator Theory, 2(4), 617-626. https://doi.org/10.1007/s11785-008-0069-7

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