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Title Transcription
ポテンシャルロンテキ KERNEL ニ ツイテ ノ チュウイ
Title Alternative (English)
Remarks on Potential Theoretic Kernels
File
language
eng
Author
Kayano, Takashi
Ogawa, Shiro
Description
In the preceding paper [4], we treated the characterization of the family of potential theoretic measures G+ (Φ) . Generally considering the characterization of the family G+ (Φ), we defined a concept "T-kernel" and proved that Newtonian kernel Φ_N and the kernel Φ_w associated with the heat equation are T-kernels. The present paper deals with two remarks on potential theoretic kernels which have continuous potentials ; the first is concerned with T-kernel and the second is done with the domination principles for Φ_w-potential. In the first section we shall remark that α-kernel and Green kernel are also T-kernels. In the second section we shall introduce a definition of C-domination principle and we shall prove that the kernel Φ_w does not satisfy the ordinary domination principle but it satisfies the C-domination principle.
Journal Title
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
Volume
4
Start Page
27
End Page
32
ISSN
03709434
Published Date
1971-03-15
NCID
AN0010806X
Publisher
島根大学文理学部
Publisher Aalternative
The Faculty of Literature and Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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