dc.contributor.author | Karlı, Deniz | en_US |
dc.date.accessioned | 2016-04-08T08:42:20Z | |
dc.date.available | 2016-04-08T08:42:20Z | |
dc.date.issued | 2016-03-30 | |
dc.identifier.citation | Karlı, D. (2016). An extension of a boundedness result for singular integral operators. Colloquium Mathematicum, 145(1), 15-33. doi:10.4064/cm6722-1-2016 | en_US |
dc.identifier.issn | 0010-1354 | |
dc.identifier.issn | 1730-6302 | |
dc.identifier.uri | https://hdl.handle.net/11729/827 | |
dc.identifier.uri | http://dx.doi.org/10.4064/cm6722-1-2016 | |
dc.description.abstract | We study some operators originating from classical Littlewood–Paley the- ory. We consider their modification with respect to our discontinuous setup, where the un- derlying process is the product of a one-dimensional Brownian motion and a d-dimensional symmetric stable process. Two operators in focus are the G∗ and area functionals. Using the results obtained in our previous paper, we show that these operators are bounded on Lp. Moreover, we generalize a classical multiplier theorem by weakening its conditions on the tail of the kernel of singular integrals. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Polska Akademia Nauk | en_US |
dc.relation.isversionof | 10.4064/cm6722-1-2016 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Multiplier | en_US |
dc.subject | Symmetric stable process | en_US |
dc.subject | Singular integrals | en_US |
dc.subject | Probabilistic Littlewood–Paley functions | en_US |
dc.subject | Area functional | en_US |
dc.subject | G∗ functional | en_US |
dc.subject | Inequality | en_US |
dc.title | An extension of a boundedness result for singular integral operators | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Colloquium Mathematicum | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0002-5639-0648 | |
dc.identifier.volume | 145 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 15 | |
dc.identifier.endpage | 33 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Karlı, Deniz | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q4 | |
dc.description.wosid | WOS:000377870000002 | |