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

University of Toronto
College of William and Mary

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

3 Scopus citations

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
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
Externally published	Yes

Bibliographical 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.

Funding

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.

Funders	Funder number
Retalon Inc.
National Science Foundation	DMS-0456625

Keywords

Matrix symbol
Norm
Singular integral operator

Access to Document

10.1007/s11785-008-0069-7

Cite this

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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.",

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

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AB - 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.

KW - Matrix symbol

KW - Norm

KW - Singular integral operator

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On the norms of singular integral operators on contours with intersections

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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