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) |
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Pages (from-to) | 617-626 |
Number of pages | 10 |
Journal | Complex Analysis and Operator Theory |
Volume | 2 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2008 |
Keywords
- Matrix symbol
- Norm
- Singular integral operator
ASJC Scopus subject areas
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics