THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

In this paper, we extend the concept of the pseudo di®erential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo di®erential operators in the Beurl- ing's generalized distribution spaces. And we shall investigate some properties of the generalized p...

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Published inJournal of the Chungcheong Mathematical Society Vol. 28; no. 2; pp. 269 - 286
Main Author Kang, Buhyeon
Format Journal Article
LanguageEnglish
Published 충청수학회 15.05.2015
Subjects
수학
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ISSN1226-3524
2383-6245
DOI10.14403/jcms.2015.28.2.269

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Summary:In this paper, we extend the concept of the pseudo di®erential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo di®erential operators in the Beurl- ing's generalized distribution spaces. And we shall investigate some properties of the generalized pseudo di®erential operators including the generalized pseudo local property. Finally, we will study the smoothness and properly supported property of these operators. KCI Citation Count: 0
Bibliography:G704-001724.2015.28.2.011
ISSN:1226-3524
2383-6245
DOI:10.14403/jcms.2015.28.2.269