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Parabolic Littlewood-Paley inequality for phi (-Delta)-type operators and applications to stochastic integro-differential equations
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Ildoo | - |
| dc.contributor.author | Kim, Kyeong-Hun | - |
| dc.contributor.author | Kim, Panki | - |
| dc.date.accessioned | 2021-09-05T17:51:03Z | - |
| dc.date.available | 2021-09-05T17:51:03Z | - |
| dc.date.created | 2021-06-15 | - |
| dc.date.issued | 2013-12-20 | - |
| dc.identifier.issn | 0001-8708 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/101268 | - |
| dc.description.abstract | In this paper we prove a parabolic version of the Littlewood-Paley inequality (1.4) for the operators of the type phi(-Delta), where phi is a Bernstein function. As an application, We construct an L-p-theory for the stochastic integro-differential equations of the type du = (-phi(-Delta)u dt + gdW(t). (C) 2013 Elsevier Inc. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.subject | JUMP-PROCESSES | - |
| dc.title | Parabolic Littlewood-Paley inequality for phi (-Delta)-type operators and applications to stochastic integro-differential equations | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Ildoo | - |
| dc.contributor.affiliatedAuthor | Kim, Kyeong-Hun | - |
| dc.identifier.doi | 10.1016/j.aim.2013.09.008 | - |
| dc.identifier.scopusid | 2-s2.0-84884972376 | - |
| dc.identifier.wosid | 000326256500005 | - |
| dc.identifier.bibliographicCitation | ADVANCES IN MATHEMATICS, v.249, pp.161 - 203 | - |
| dc.relation.isPartOf | ADVANCES IN MATHEMATICS | - |
| dc.citation.title | ADVANCES IN MATHEMATICS | - |
| dc.citation.volume | 249 | - |
| dc.citation.startPage | 161 | - |
| dc.citation.endPage | 203 | - |
| 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 | - |
| dc.subject.keywordPlus | JUMP-PROCESSES | - |
| dc.subject.keywordAuthor | Parabolic Littlewood Paley inequality | - |
| dc.subject.keywordAuthor | Stochastic partial differential equations | - |
| dc.subject.keywordAuthor | Integro-differential operators | - |
| dc.subject.keywordAuthor | Levy processes | - |
| dc.subject.keywordAuthor | Estimates of transition functions | - |
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