GRAND LEBESGUE SPACES ON QUASI-METRIC MEASURE SPACES OF INFINITE MEASURE
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Universidade Do Algarve, Portekiz
Kh. I. Ibragimov Complex Research Institute Ras, Rusya Federasyonu
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Sciences United States | ||
| Dergi ISSN | 1072-3374 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2023 |
| Cilt / Sayı / Sayfa | 271 / 4 / 568–582 | DOI | 10.1007/s10958-023-06578-9 |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s10958-023-06578-9.pdf | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| SCOPUS | 3 |