DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Jaehoon | ko |
dc.date.accessioned | 2024-09-05T10:00:26Z | - |
dc.date.available | 2024-09-05T10:00:26Z | - |
dc.date.created | 2022-10-10 | - |
dc.date.issued | 2024-01 | - |
dc.identifier.citation | POTENTIAL ANALYSIS, v.60, no.1, pp.1 - 25 | - |
dc.identifier.issn | 0926-2601 | - |
dc.identifier.uri | http://hdl.handle.net/10203/322715 | - |
dc.description.abstract | In this paper, we obtain sharp two-sided estimates of Poisson kernels for pure jump symmetric Levy processes in C-1,C-1 open sets. In particular, by combining Green function estimates obtained by Kim and Mimica (Electron. J. Probab., 23(64), 1-45, 2018), our result covers subordinate Brownian motions with high intensity of small jumps such as conjugate geometric stable process whose Laplace exponent is lambda -> lambda/(log (1 + lambda(alpha/2))) for 0 < alpha < 2. As an application, we show the existence of tangential limits for harmonic functions in C-1,C-1 open sets. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Estimates of Poisson Kernels for Symmetric Levy Processes and Their Applications | - |
dc.type | Article | - |
dc.identifier.wosid | 000861158400003 | - |
dc.type.rims | ART | - |
dc.citation.volume | 60 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 25 | - |
dc.citation.publicationname | POTENTIAL ANALYSIS | - |
dc.identifier.doi | 10.1007/s11118-022-10042-9 | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Symmetric Levy process | - |
dc.subject.keywordAuthor | Subordinate Brownian motion | - |
dc.subject.keywordAuthor | Poisson kernel | - |
dc.subject.keywordAuthor | Harmonic function | - |
dc.subject.keywordAuthor | Boundary Harnack principle | - |
dc.subject.keywordAuthor | Tangential limits | - |
dc.subject.keywordPlus | BOUNDARY HARNACK PRINCIPLE | - |
dc.subject.keywordPlus | ALPHA-HARMONIC FUNCTIONS | - |
dc.subject.keywordPlus | FATOU THEOREM | - |
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