Duduchava, R, Krupnik, N and Shargorodsky, E (1999) An algebra of integral operators with fixed singularities in kernels. Integral Equations and Operator Theory, 33 (4). pp. 406-425. ISSN 0378-620X

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Abstract

We continue the study of algebras generated by the Cauchy singular integral operator and integral operators with fixed singularities on the unit interval, started in R.Duduchava, E.Shargorodsky, 1990. Such algebras emerge when one considers singular integral operators with complex conjugation on curves with cusps. As one of possible applications of the obtained results we find an explicit formula for the local norms of the Cauchy singular integral operator on the Lebesgue spaceL 2 (Gamma, rgr), where Gamma is a curve with cusps of arbitrary order and rgr is a power weight. For curves with angles and cusps of order 1 the formula was already known.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	EPrints Services
Date Deposited:	06 Feb 2012 18:31
Last Modified:	14 Sep 2012 13:16
URI:	http://sro.sussex.ac.uk/id/eprint/16944

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