PARABOLIC FRACTIONAL MAXIMAL OPERATOR IN PARABOLIC GENERALIZED MORREY SPACES
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kirsehir Ahi Evran University, Türkiye
Kamala R. Rahimova Ministry of Education of Azerbaijan Republic, Azerbaycan
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | ||
| Dergi ISSN | 2409-4986 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2012 |
| Cilt / Sayı / Sayfa | 37 / 45 / 51–66 | DOI | – |
| Makale Linki | https://imm.az/journals/RMI_eserleri/cild37_N45_2012/meqaleler/51-66.pdf | ||
| Özet |
| We study the parabolic fractional maximal operator MP α, 0≤ α< γ in the parabolic generalized Morrey space Mp, φ, P (Rn), where γ= trP is the homogeneous dimension on Rn. We find the conditions on the pair (φ1, φ2) which ensures the boundedness of the operator MP α from one generalized Morrey space Mp, φ1, P (Rn) to another Mq, φ2, P (Rn), 1< p≤ q<∞, 1/p− 1/q= α/γ, and from the space M1, φ1, P (Rn) to the weak space WMq, φ2, P (Rn), 1≤ q<∞, 1− 1/q= α/γ. Also find conditions on the φ which ensure the Adams type boundedness of the MP α from M p, φ 1 p, P |
| Anahtar Kelimeler |
