Marcinkiewicz integral on generalized weighted morrey spaces
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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| Dergi Adı | Transactions | ||
| Makale Dili | – | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 34 / 4 / 53–64 | DOI | – |
| Makale Linki | https://transmech.imm.az/old/volume/old_volume/cild34_N4_2014/meqaleler/53-64.pdf | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, we study the boundedness of the Marcinkiewicz operators µΩ and their commutators µb, Ω on generalized weighted Morrey spaces Mp, φ (w). We find the sufficient conditions on the pair (φ1, φ2) with w∈ Ap (Rn) which ensures the boundedness of the operators µΩ from one generalized weighted Morrey space Mp, φ1 (w) to another Mp, φ2 (w) for 1< p<∞. In all cases the conditions for the boundedness of the operator µΩ is given in terms of Zygmund-type integral inequalities on (φ1, φ2) and w, which do not assume any assumption on monotonicity of φ1 (x, r), φ2 (x, r) in r. |
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