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Lp (1 ≤ p ≤ ∞) estimates for on a certain pseudoconvex domain in ℂn

Published online by Cambridge University Press:  22 January 2016

Kenzō Adachi  and
Hong Rae Cho
Kenzō Adachi
Affiliation:
Department of Mathematics, Nagasaki University, Nagasaki 852, Japan, k-adachi@net.nagaski-u.ac.jp
Hong Rae Cho
Affiliation:
Department of Mathematics Education, Andong National University, Andong, Kyungbuk 760-749, Korea, chohr@anu.andong.ac.kr
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Abstract

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Let Ψ ∈ C2[0,1] be a positive real valued function on (0, 1]. Under certain assumptions on Ψ, the set is a pseudoconvex domain with C2-boundary which may be infinite type. If Ψ has flatness at 0 so that then we can obtain Lp(1 ≤ p ≤ ∞) estimates for on D.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 148 , December 1997 , pp. 127 - 136
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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