On the norm of singular integral operator on curves with cusps

R. Duduchava; N. Krupnik

doi:10.1007/BF01197567

On the norm of singular integral operator on curves with cusps

R. Duduchava
, N. Krupnik

Department of Mathematics

Academy of Sciences of Georgia

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

5 Scopus citations

Abstract

Applying the results on singular integral operators with the complex conjugation on curves with cusps (see R. Duduchava, T. Latsabidze, A. Saginashvili, 1992, 1994) the explicit formula for the local norm of the Cauchy singular integral operator on a curve with cusps in a Lebesgue space with an exponential weight L₂ (Γ, ρ{variant}) is obtained. For curves with angles the formula was already known (see R. Avedanio, N. Krupnik, 1988).

Original language	English
Pages (from-to)	377-382
Number of pages	6
Journal	Integral Equations and Operator Theory
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/BF01197567
State	Published - Dec 1994

Keywords

MSC 1991: 47A30

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10.1007/BF01197567

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abstract = "Applying the results on singular integral operators with the complex conjugation on curves with cusps (see R. Duduchava, T. Latsabidze, A. Saginashvili, 1992, 1994) the explicit formula for the local norm of the Cauchy singular integral operator on a curve with cusps in a Lebesgue space with an exponential weight L2 (Γ, ρ\{variant\}) is obtained. For curves with angles the formula was already known (see R. Avedanio, N. Krupnik, 1988).",

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AU - Duduchava, R.

AU - Krupnik, N.

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AB - Applying the results on singular integral operators with the complex conjugation on curves with cusps (see R. Duduchava, T. Latsabidze, A. Saginashvili, 1992, 1994) the explicit formula for the local norm of the Cauchy singular integral operator on a curve with cusps in a Lebesgue space with an exponential weight L2 (Γ, ρ{variant}) is obtained. For curves with angles the formula was already known (see R. Avedanio, N. Krupnik, 1988).

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EP - 382

JO - Integral Equations and Operator Theory

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IS - 4

ER -

On the norm of singular integral operator on curves with cusps

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