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Hölder estimates for the Cauchy integral on a Lipschitz contour

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Publication:1121483
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DOI10.1216/JIE-1988-1-3-435zbMath0674.45013MaRDI QIDQ1121483

William McLean

Publication date: 1988

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)


zbMATH Keywords

Cauchy integralsingular integral operatorHölder estimatesLipschitz contourPlemelj-Sokhotskij theorem


Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral operators (45P05) Integral equations with kernels of Cauchy type (45E05) Integral, integro-differential, and pseudodifferential operators (47Gxx)


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Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries ⋮ Cauchy singular integral operator with parameters in log-Hölder spaces ⋮ Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance



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