Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight

Israel Gohberg; Naum Krupnik; Ilya Spitkovsky

doi:10.1007/bf01200289

Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight

Israel Gohberg, Naum Krupnik, Ilya Spitkovsky

Department of Mathematics

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Abstract

The Banach algebra generated by one-dimensional linear singular integral operators with matrix valued piecewise continuous coefficients in the space L_p(Γ,ρ) with an arbitrary weight ρ is studied. The contour Γ consists of a finite number of closed curves and open arcs with satisfy the Carleson condition. The contour may have a finite number of points of selfintersection. The symbol calculus in this algebra is the main result of the paper.

Original language	English
Pages (from-to)	322-337
Number of pages	16
Journal	Integral Equations and Operator Theory
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/bf01200289
State	Published - Sep 1993

Keywords

MSC 1991: Primary 47A53, Secondary 45F15, 47B38, 47C10, 47D30

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10.1007/bf01200289

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abstract = "The Banach algebra generated by one-dimensional linear singular integral operators with matrix valued piecewise continuous coefficients in the space Lp(Γ,ρ) with an arbitrary weight ρ is studied. The contour Γ consists of a finite number of closed curves and open arcs with satisfy the Carleson condition. The contour may have a finite number of points of selfintersection. The symbol calculus in this algebra is the main result of the paper.",

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AB - The Banach algebra generated by one-dimensional linear singular integral operators with matrix valued piecewise continuous coefficients in the space Lp(Γ,ρ) with an arbitrary weight ρ is studied. The contour Γ consists of a finite number of closed curves and open arcs with satisfy the Carleson condition. The contour may have a finite number of points of selfintersection. The symbol calculus in this algebra is the main result of the paper.

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Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight

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Keywords

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