Hardy-Littlewood-Sobolev inequality in 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 | İngilizce | Basım Tarihi | 01-2026 |
| Cilt / Sayı / Sayfa | 30 / 1 / 1–20 | DOI | 10.1007/s11117-025-01165-5 |
| Makale Linki | https://link.springer.com/article/10.1007/s11117-025-01165-5 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| We study some necessary and sufficient conditions for the boundedness of the Riesz potential operator and its commutator on the total Morrey spaces. We characterize the strong and weak Spanne type and Adams type boundedness of on, respectively. We also give necessary and sufficient conditions for the boundedness of the commutator of the Riesz potential operator on when b belongs to the spaces. As applications, we obtain some estimates for the Marcinkiewicz operator and fractional powers of some analytic semigroups on the total Morrey spaces. |
| Anahtar Kelimeler |
| BMO space | Commutator | Fractional powers of some analytic semigroups | Marcinkiewicz operator | Maximal operator | Riesz potential | Total Morrey spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 1 |