Sublinear operators with rough kernel generated by Calderon-Zygmund operators and their commutators on generalized local Morrey spaces
Yazarlar (4)
Aydın S Balakishiyev Ministry of Education of Azerbaijan Republic
Prof. Dr. Vagıf GULIYEV Ahi Evran Üniversitesi, Türkiye
Ferit Gürbüz Ankara University, Türkiye
Ayhan Şerbetçi Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | JOURNAL OF INEQUALITIES AND APPLICATIONS (Q4) | ||
| Dergi ISSN | 1029-242X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2015 |
| Cilt / Sayı / Sayfa | 61 / 1 / 1–18 | DOI | 10.1186/s13660-015-0582-y |
| Özet |
| In this paper, we will study the boundedness of a large class of sublinear operators with rough kernel on the generalized local Morrey spaces , for , or , where with are homogeneous of degree zero. In the case when is a local Campanato spaces, , and be is a sublinear commutator operator, we find the sufficient conditions on the pair which ensures the boundedness of the operator from one generalized local Morrey space to another . In all cases the conditions for the boundedness of are given in terms of Zygmund-type integral inequalities on , which do not make any assumptions on the monotonicity of , in r. Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudo-differential operators, Littlewood-Paley operators, Marcinkiewicz operators, and Bochner-Riesz … |
| Anahtar Kelimeler |
| sublinear operator | Calderon-Zygmund operator | rough kernel | generalized local Morrey space | commutator | local Campanato space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 29 |
| Web of Science | 11 |