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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In the memory of Georgii Semenovich Litvinchuk
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.
Submitted: April 13, 2007. Accepted: September 19, 2007.
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Krupnik, N., Spitkovsky, I.M. On the Norms of Singular Integral Operators on Contours with Intersections. Complex anal.oper. theory 2, 617–626 (2008). https://doi.org/10.1007/s11785-008-0069-7
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DOI: https://doi.org/10.1007/s11785-008-0069-7