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Riesz capacity and regular boundary points for the parabolic operator of order α

Published online by Cambridge University Press:  22 January 2016

Masaharu Nishio
Masaharu Nishio*
Affiliation:
Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi Osaka 558, Japan
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Let Rn+1 = Rn × R be the (n + 1)-dimensional Euclidean space with n ≥ 1. We denote by X = (x, t) a point in Rn+1 with x ∈ Rn and t ∈ R. Consider the parabolic operator on Rn+1:

where 0 < a ≤ 1 and Δ denotes the Laplacian on Rn.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 139 , September 1995 , pp. 185 - 196
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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