| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
S. Samko
Universidade do Algarve, Portugal |
|
S. Umarkhadzhiev
Kh. I. Ibragimov Complex Research Institute RAS, Russian Federation |
| Özet |
| Grand Lebesgue spaces, well-known on sets of finite measure, are studied on general measure spaces (X, μ) with admission of μ(X) = ∞ . In this case, the grand space is defined via the so-called grandizer. It is shown that the classical Lebesgue space is embedded into the grand Lebesgue space if and only if the grandizer is in L1(X) . Embedding between grand Lebesgue spaces with different grandizers is also considered. The main results concern the boundedness of maximal, singular, and fractional operators in grand Lebesgue spaces over quasi-metric measure spaces (X, d, μ) . Application to such operators over Sn-1 and homogeneous groups on Rn is also given. |
| Anahtar Kelimeler |
| Fractional operator | Grand space | Grandizer | Maximal operator | Muckenhoupt weight | Quasi-metric measure space | Singular operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Mathematical Sciences (United States) |
| Dergi ISSN | 1072-3374 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2023 |
| Cilt No | 271 |
| Sayı | 4 |
| Sayfalar | 568 / 582 |
| Doi Numarası | 10.1007/s10958-023-06578-9 |
| Atıf Sayıları | |
| SCOPUS | 2 |
