Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Ahi Evran Üniversitesi, Türkiye
Seymur S Aliyev Azerbaijan National Academy Of Sciences, Azerbaycan
Dr. Öğr. Üyesi Turhan KARAMAN Kırşehir Ahi Evran Üniversitesi, Türkiye
Parviz S Shukurov Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Integral Equations and Operator Theory (Q4) | ||
| Dergi ISSN | 0378-620X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SSCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2011 |
| Cilt / Sayı / Sayfa | 71 / 3 / 327–355 | DOI | 10.1007/s00020-011-1904-1 |
| Özet |
| In this paper the authors study the boundedness for a large class of sublinear operators \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T_{\alpha}, \alpha \in [0,n)}$$\end{document} generated by Calderón–Zygmund operators (α = 0) and generated by Riesz potential operator (α > 0) on generalized Morrey spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_{p,\varphi}}$$\end{document} . As an application of the above result, the boundeness of the commutator of … |
| Anahtar Kelimeler |
| BMO | Bochner-Riesz operator | Calderón-Zygmund operator | commutator | fractional maximal operator | generalized Morrey space | Littlewood-Paley operator | Marcinkiewicz operator | Riesz potential operator | Sublinear operator |
