| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Javanshir J. Hasanov
|
|
Stefan G. Samko
|
| Özet |
| We consider generalized Morrey spaces M-P(.),M-omega(Omega) with variable exponent p(x) and a general function omega(x, r) defining the Money-type norm. In case of bounded sets Omega subset of R-n we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators with standard kernel, in such spaces. We also prove a Sob lev-Adams type M-p(.),M-omega(Omega)-> M-q(.),M-omega(Omega)-theorem for the potential operators I-alpha(.), also of variable order. The conditions for the boundedness are given it terms of Zygmund-type integral inequalities on omega(x, r), which do not assume any assumption on monotonicity of omega(x, r) in r |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | MATHEMATICA SCANDINAVICA |
| Dergi ISSN | 0025-5521 |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2010 |
| Cilt No | 107 |
| Sayı | 2 |
| Sayfalar | 285 / 304 |
| Doi Numarası | 10.7146/math.scand.a-15156 |
