Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces
    
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Boundary Value Problems (Q4)
Dergi ISSN 1687-2762
Dergi Tarandığı Indeksler SCI
Makale Dili Türkçe Basım Tarihi 05-2018
Cilt / Sayı / Sayfa 2018 / 1 / 80–0 DOI 10.1186/s13661-018-1002-2
Makale Linki http://dx.doi.org/10.1186/s13661-018-1002-2
Özet
Let be a Schrödinger operator on , where and the nonnegative potential V belongs to the reverse Hölder class for some . Let b belong to a new Campanato space and be the fractional integral operator associated with L. In this paper, we study the boundedness of the commutators with on local generalized Morrey spaces , generalized Morrey spaces and vanishing generalized Morrey spaces associated with Schrödinger operator, respectively. When b belongs to with , and satisfies some conditions, we show that the commutator operator are bounded from to , from to and from to , .
Anahtar Kelimeler
Commutator | Fractional integral | Lipschitz function | Local generalized Morrey space | Schrödinger operator