Integrability on the Abstract Wiener Space of Double Sequences and Fernique Theorem
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, J.-G. | - |
dc.date.accessioned | 2021-11-17T05:41:27Z | - |
dc.date.available | 2021-11-17T05:41:27Z | - |
dc.date.created | 2021-11-15 | - |
dc.date.issued | 2021-10-12 | - |
dc.identifier.issn | 2314-8896 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/18156 | - |
dc.description.abstract | The integrability of a function defined on the abstract Wiener space of double Fourier coefficients is explored. The abstract Wiener space is also a Hilbert space. We define an orthonormal system of the Hilbert space to establish a measure and integration on the abstract Wiener space. We examine the integrability of a function eα·2 defined on the abstract Wiener space for Fernique theorem. With respect to the abstract Wiener measure, the integral of the function turns out to be convergent for α<1/2. The result provides a wider choice of the constant α than that of Fernique. © 2021 Jeong-Gyoo Kim. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Hindawi Limited | - |
dc.title | Integrability on the Abstract Wiener Space of Double Sequences and Fernique Theorem | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, J.-G. | - |
dc.identifier.doi | 10.1155/2021/1667865 | - |
dc.identifier.scopusid | 2-s2.0-85118411688 | - |
dc.identifier.wosid | 000718212800001 | - |
dc.identifier.bibliographicCitation | Journal of Function Spaces, v.2021 | - |
dc.relation.isPartOf | Journal of Function Spaces | - |
dc.citation.title | Journal of Function Spaces | - |
dc.citation.volume | 2021 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
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