BOUNDEDNESS OF THE MAXIMAL, POTENTIAL AND SINGULAR OPERATORS IN THE GENERALIZED VARIABLE EXPONENT MORREY SPACES
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Universidade Do Algarve, Portekiz
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematica Scandinavica (Q3) | ||
| Dergi ISSN | 0025-5521 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2010 |
| Cilt / Sayı / Sayfa | 107 / 2 / 285–304 | DOI | 10.7146/math.scand.a-15156 |
| 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 |