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 › peer-review

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

Cite this

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title = "On the norms of singular integral operators on contours with intersections",

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.",

keywords = "Matrix symbol, Norm, Singular integral operator",

author = "Naum Krupnik and Spitkovsky, {Ilya M.}",

note = "Funding Information: The research of the first author was partially supported by Retalon Inc., Toronto, ON, Canada. The research of the second author was partially supported by NSF grant DMS-0456625.",

year = "2008",

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doi = "10.1007/s11785-008-0069-7",

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N2 - 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.

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KW - Norm

KW - Singular integral operator

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On the norms of singular integral operators on contours with intersections

Abstract

Keywords

ASJC Scopus subject areas

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