Advanced Search

Show simple item record

dc.contributor.authorKulak, Öznuren_US
dc.contributor.authorGürkanlı, Ahmet Turanen_US
dc.date.accessioned2016-03-10T10:44:39Z
dc.date.available2016-03-10T10:44:39Z
dc.date.issued2014
dc.identifier.citationKulak, Ö. ve Gürkanlı, A.T. (2014). Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces. Journal of Inequalities and Applications. 2014.476, 1-23.en_US
dc.identifier.issn1029242X
dc.identifier.urihttps://hdl.handle.net/20.500.12294/203
dc.identifier.urihttp://dx.doi.org/10.1186/1029-242X-2014-476
dc.descriptionGürkanlı, Ahmet Turan (Arel Author)en_US
dc.description.abstractLet ?1, ?2 be slowly increasing weight functions, and let ?3 be any weight function on Rn. Assume that m(? ,?) is a bounded, measurable function on Rn × Rn. We define Bm(f, g)(x) = Rn Rnˆ f(? )gˆ(?)m(? ,?)e2?i?+?,x d? d? for all f, g ? C? c (Rn). We say that m(? ,?) is a bilinear multiplier on Rn of type (W(p1, q1,?1; p2, q2,?2; p3, q3,?3)) if Bm is a bounded operator from W(Lp1 , L q1 ?1 ) × W(Lp2 , L q2 ?2 ) to W(Lp3 , L q3 ?3 ), where 1 ? p1 ? q1 < ?, 1 ? p2 ? q2 < ?, 1 < p3, q3 ? ?. We denote by BM(W(p1, q1,?1; p2, q2,?2; p3, q3,?3)) the vector space of bilinear multipliers of type (W(p1, q1,?1; p2, q2,?2; p3, q3,?3)). In the first section of this work, we investigate some properties of this space and we give some examples of these bilinear multipliers. In the second section, by using variable exponent Wiener amalgam spaces, we define the bilinear multipliers of type (W(p1(x), q1,?1; p2(x), q2,?2; p3(x), q3,?3)) from W(Lp1(x) , L q1 ?1 ) × W(Lp2(x) , L q2 ?2 ) to W(Lp3(x) , L q3 ?3 ), where p* 1, p* 2, p* 3 < ?, p1(x) ? q1, p2(x) ? q2, 1 ? q3 ? ? for all p1(x), p2(x), p3(x) ? P(Rn). We denote by BM(W(p1(x), q1,?1; p2(x), q2,?2; p3(x), q3,?3)) the vector space of bilinear multipliers of type (W(p1(x), q1,?1; p2(x), q2,?2; p3(x), q3,?3)). Similarly, we discuss some properties of this space.en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBilinear Multipliersen_US
dc.subjectWeighted Wiener Amalgam Spaceen_US
dc.subjectVariable Exponent Wiener Amalgam Spaceen_US
dc.titleBilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spacesen_US
dc.typearticleen_US
dc.departmentİstanbul Arel Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.authoridTR200080en_US
dc.authoridTR3402en_US
dc.identifier.volume2014en_US
dc.identifier.issue476en_US
dc.identifier.startpage1en_US
dc.identifier.endpage23en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record