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Stability of Hölder estimates for on pseudoconvex domains of finite type in ℂ2

Published online by Cambridge University Press:  22 January 2016

S. Cho ,
H. Ahn  and
S. Kim
S. Cho
Affiliation:
Department of Mathematics, Sogang University, C.P.O.Box 1142, Seoul 121-742, Koreashcho@ccs.sogang.ac.kr
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Abstract

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Let Ω be a smoothly bounded pseudoconvex domain in ℂ2 and let bΩ be of finite type m. Then we prove the stability of Hölder estimates for under some perturbations of bΩ. As an application, we prove the Mergelyan property with respect to () norms for 0 ≤ α < 1/m.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 148 , December 1997 , pp. 23 - 37
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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