TY - JOUR

T1 - On the norm of singular integral operator on curves with cusps

AU - Duduchava, R.

AU - Krupnik, N.

PY - 1994/12

Y1 - 1994/12

N2 - 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).

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).

KW - MSC 1991: 47A30

UR - http://www.scopus.com/inward/record.url?scp=0007382772&partnerID=8YFLogxK

U2 - 10.1007/bf01197567

DO - 10.1007/bf01197567

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AN - SCOPUS:0007382772

SN - 0378-620X

VL - 20

SP - 377

EP - 382

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -