GENERALIZED FRACTIONAL MAXIMAL OPERATOR ONGENERALIZED LOCAL MORREY SPACES
Yazarlar (3)
Pamukkale Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Kütahya Dumlupınar Üniversitesi
Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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| Dergi Adı | COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | ||
| Dergi ISSN | 1303-5991 Wos Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Cilt / Sayı / Sayfa | 69 / 1 / 73–87 | DOI | 10.31801/cfsuasmas.508702 |
| Özet |
| In this paper, we study the boundedness of generalized fractional maximal operator M-rho on generalized local Morrey spaces LMP,phi{x0} and generalized Morrey spaces M-p,M-phi, including weak estimates. Firstly, we prove the Spanne type boundedness of M-rho from the space LMp,phi 1{x0} to another LMq,phi 2{x0} 1 < p < q < infinity and from LM1,phi 1{x0} to the weak space WLMq,phi 2{x0} for p = 1 and 1 < q < infinity. Secondly, we prove the Adams type boundedness of M-rho from the space M-p,M-phi 1/p to another M-q,M-phi 1/q for 1 < p < q < infinity and from to the weak M-1,M-phi, space M-q,M-phi 1/q for p = 1 and 1 < q < infinity. In all cases the conditions for the boundedness of M-rho are given in terms of supremal-type integral inequalities on (phi(1), phi(2), rho) and (phi, rho), which do not assume any assumption on monotonicity of phi(1) (x, r), phi(2)(x, r) and phi(x, r) in r. |
| Anahtar Kelimeler |
| Generalized fractional maximal operator | generalized local Morrey spaces | generalized Morrey spaces |
| Atıf Sayıları | |
| WoS | 7 |