Phi Psi admissible potential operators and their commutators on vanishing Orlicz Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Collectanea Mathematica (Q4) | ||
| Dergi ISSN | 0010-0757 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2016 |
| Cilt / Sayı / Sayfa | 67 / 1 / 133–153 | DOI | 10.1007/s13348-015-0135-1 |
| Makale Linki | http://link.springer.com/10.1007/s13348-015-0135-1 | ||
| Özet |
| We study the boundedness of (Φ,Ψ)-admissible potential operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,(Formula presented.) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Riesz potential, fractional maximal operator and so on. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities involving the Young functions Φ, Ψ and the function φ(x,r) defining the space, without assuming any monotonicity property of φ(x,r) on r. |
| Anahtar Kelimeler |
| (Φ, Ψ)-admissible potential operators | BMO | Commutator | Fractional maximal operator | Riesz potential | Vanishing generalized Orlicz-Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 12 |
| Google Scholar | 16 |