Characterizations for the fractional maximal operator and its commutators on total Morrey spaces
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Positivity (Q2) | ||
| Dergi ISSN | 1385-1292 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 07-2024 |
| Cilt / Sayı / Sayfa | 28 / 4 / – | DOI | 10.1007/s11117-024-01068-x |
| Makale Linki | http://dx.doi.org/10.1007/s11117-024-01068-x | ||
| Özet |
| We shall give a characterization for the strong and weak type Adams type boundedness of the fractional maximal operator Mα on total Morrey spaces Lp,λ,μ(Rn), respectively. Also we give necessary and sufficient conditions for the boundedness of the fractional maximal commutator operator Mb,α and commutator of fractional maximal operator [b,Mα] on Lp,λ,μ(Rn) when b belongs to BMO(Rn) spaces, whereby some new characterizations for certain subclasses of BMO(Rn) spaces are obtained. |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional maximal operator | Total Morrey spaces |