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L2-boundedness of the cauchy transform on smooth non-Lipschitz curves

Published online by Cambridge University Press:  22 January 2016

Hyeonbae Kang  and
Jin Keun Seo
Hyeonbae Kang
Affiliation:
Department of Mathematics, Soong Sil University, Sangdo-Dong, Dongjak-Gu, Seoul, 156-743, Korea
Jin Keun Seo
Affiliation:
GARC, Seoul National University, Shinlim-Dong, Kwanak-Gu, Seoul, 135-110, Korea, Department of Mathematics, POSTECH, Pohang, Korea
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Let Γ be a curve defined by y = A(x) in R2. The Cauchy transform on the curve Γ is a singular integral operator defined by the singular integral kernel

(1.1)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 130 , June 1993 , pp. 123 - 147
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

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