Weak-type Estimates in Morrey Spaces for Maximal Commutator and Commutator of Maximal Function

Basit Öğe Kaydı
dc.contributor.authorGogatishvili, Amiran
dc.contributor.authorMustafayev, Rza
dc.contributor.authorAgcayazi, Mujdat
dc.date.accessioned2020-06-25T18:29:36Z
dc.date.available2020-06-25T18:29:36Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionGogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
dc.description.abstractIn this paper it is shown that the Hardy-Littlewood maximal operator M is not bounded on Zygmund-Money space M-L(log L),M-lambda,M- O < lambda < n, but M is still bounded on M-L(logL),M-lambda for radially decreasing functions. The boundedness of the iterated maximal operator M-2 from M-L(log L),M-lambda to weak Zygmund-Morrey space WML(log L),lambda is proved. The class of functions for which the maximal commutator C-b is bounded from ML((log L),lambda)to WM(L(log L),lambda)are characterized. It is proved that the commutator of theHIardy-Littlewood maximal operator M with function b is an element of BMO(R-n)A such that b(-)is an element of L-infinity(R-n)A is bounded fom M(L(log L),lambda)to WM(L(log L),lambda. )New pointwise characterizations of M alpha M by means of norm of Hardy-Littlewood maximal function in classical Morrey spaces are given.en_US
dc.description.sponsorshipGrant Agency of the Czech RepublicGrant Agency of the Czech Republic [P201-13-14743S]; Shota Rustaveli National Science Foundation [RVO: 67985840, 31/48, DI/9/5-100/13]; Academy of Sciences of Czech RepublicCzech Academy of Sciences; Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThe research of A. Gogatishvili was partly supported by the grants P201-13-14743S of the Grant Agency of the Czech Republic and RVO: 67985840, by Shota Rustaveli National Science Foundation grants no. 31/48 (Operators in some function spaces and their applications in Fourier Analysis) and no. DI/9/5-100/13 (Function spaces, weighted inequalities for integral operators and problems of summability of Fourier series). The research of the first and second authors was partly supported by the joint project between Academy of Sciences of Czech Republic and The Scientific and Technological Research Council of Turkey.en_US
dc.identifier.citationAǧcayazı, M., Gogatishvili, A., & Mustafayev, R. (2018). Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function. Tokyo Journal of Mathematics, 41(1), 193-218.en_US
dc.identifier.doi10.3836/tjm/1502179258
dc.identifier.endpage218en_US
dc.identifier.issn0387-3870
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85051184004
dc.identifier.scopusqualityQ4
dc.identifier.startpage193en_US
dc.identifier.urihttps://doi.org/10.3836/tjm/1502179258
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7387
dc.identifier.volume41en_US
dc.identifier.wosWOS:000439424800009
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTokyo Journal Mathematics Editorial Office Acad Centeren_US
dc.relation.ispartofTokyo Journal Of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMorrey spacesen_US
dc.subjectmaximal operatoren_US
dc.subjectcommutatoren_US
dc.subjectBMOen_US
dc.titleWeak-type Estimates in Morrey Spaces for Maximal Commutator and Commutator of Maximal Functionen_US
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
Weak-type Estimates in Morrey Spaces for Maximal Commutator and Commutator of Maximal Function.pdf
Boyut:
176.31 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin/Full Text
İndir

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Makale Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu